how to see if matrix is one to one calculator

Answers

Answer 1

Answer:

look at the pivots (the leading 1's of the rows)

Step-by-step explanation:

Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.


Related Questions

answer this please ​

answer this please

Answers

Answer5 times 6=30 divide bc its a triangle the answer is 15

Step-by-step explanation:

you have an ant farm with 28 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one​ year, how many ants will there be in the ant​ farm

Answers

Answer:

Step-by-step explanation:

the table represents a non linear function.

After one year, the ants;

28.(2) 12/3

= 28.(2) 4

=28.16

=448

HCF of two numbers is 5 and LCM is 12...what are the 2 numbers

Answers

The two numbers are 15 and 20, and their HCF is 5 and LCM is 12.

Let the two numbers be x and y. We know that:

HCF(x, y) = 5

LCM(x, y) = 12

We can use the fact that HCF * LCM = x * y to find the values of x and y.

HCF * LCM = x * y

5 * 12 = x * y

60 = x * y

We also know that x and y have a common factor of 5. Let's express x and y in terms of their prime factorization:

x = 5 * a

y = 5 * b

Substituting these values into the equation xy = 60, we get:

5a * 5b = 60

ab = 12

The factors of 12 are 1, 2, 3, 4, 6, and 12. We want to find two factors that differ by a multiple of 5 (to satisfy the condition that HCF(x, y) = 5). The only such pair of factors is 3 and 4.

So, a = 3 and b = 4, or vice versa. Substituting these values back into x = 5a and y = 5b, we get:

x = 5 * 3 = 15

y = 5 * 4 = 20

Therefore, the two numbers are 15 and 20, and their HCF is 5 and LCM is 12.

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Solve the rational equation quantity 4x-1/12 = 11/12
Options
x = 2.5
x = 2.7
x = 3
x = 4

Answers

The answer is 2.5
because you add 1/12 with 11/12 it gives you 1 and dividing it by 4 gives you the result

Ashley calculates her salary (vase and commission) for the year y using a model y = 0.2x + 25,000; where x represents her total sales for the year. What is the meaning of the y-intercept in the model
A) the y-intercept represents Ashleys base play
B) the y intercepts represents Ashleys commission pay
C) the y-intercept represents asleys total sales for the year
D) the y-intercept reperesents the highest salary Ashley can earn
im really struggling with this one

Answers

Answer:

A)

Step-by-step explanation:

The y-intercept represents Ashleys base play

Best,

SunflowerJada

please help as soon as popssible ill give thanks and brainliest

please help as soon as popssible ill give thanks and brainliest

Answers

don’t go to that link

Jasmine gets paid $96 for 3 hours, how many dimes is she making an hour? How many nickels is she making an hour? how many quarters is she making an hour? how many pennies is she making an hour? use the problem.
\(x = \)

Answers

Answer:

Step-by-step explanation:

I DON'T KNOW

In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.

In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut

Answers

30+20+50 = 100 ml total. 20 ml is orange juice.

So, 30/100 reduce by dividing top and bottom by 30 gives

3/10 is the proportion of orange juice in the fruit cocktail.

Hope this helps! :)

Answer:

3/10

Step-by-step explanation:

First, find the total amount of liquid for a drink with 30 mls of orange juice
Assume volumes can be added
30+20+50 = 100 ml
the percentage/proportion of orange juice in the drink is the number of mls of orange juice divided by the total volume
so
30/100
which can be reduced to 3/10

Explain! Prizes! Thank you !

Explain! Prizes! Thank you !

Answers

Answer:

$16

Step-by-step explanation:

20/5 = 4

4 x 4 = 16

Have a good day!

Answer:  Choice A) $16

==================================================

Work Shown:

5 notebooks = 20 dollars

5/5 notebooks = 20/5 dollars ..... divide both sides by 5

1 notebook = 4 dollars ..... unit rate

4*(1 notebook) = 4*(4 dollars) .... multiply both sides by 4

4 notebooks = 16 dollars

---------------

Another approach:

(5 notebooks)/(20 dollars) = (4 notebooks)/(x dollars)

5/20 = 4/x

5*x = 20*4 ... cross multiply

5x = 80

5x/5 = 80/5 .... dividing both sides by 5

x = 16

So 4 notebooks cost $16

4(x+7)=38 find the solution

Answers

Answer:

x=5/2

Step-by-step explanation:

Solve

Distribute

Subtract

28

from both sides of the equation

4x+28=38

4x+28

3

Simplify

Subtract the numbers

4x=10

4

Divide both sides of the equation by the same term

4x=10

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

I think sry if wrong

Answer:

x = 2.5

x = 5/2

Step-by-step explanation:

Distribute

4(x+7)=38

4x +28 =38

Subtract 28 from both sides of the equation

4x + 28 = 38

4x+28-28=38 -28

Simplify

4x = 10

Divide both sides of the equation by the same term

4x/4 = 10/4

Simplify

x  = 5/2

Decimal form = x = 2.5

[RevyBreeze]

Consider the following function on the given interval.
f(x)=15+2x−x^2, [0,5]
Find the derivative of the function.
f’(x) = -2x+2
Find any critical numbers of the function.
x = 1
Find the absolute maximum and absolute minimum values of f on the given interval.
Absolute minimum value 5,0
Absolute maximum value 1,16

Answers

The derivative of the function is f'(x) = -2x + 2, the critical number is x = 1, the absolute minimum value is 5 at x = 5, and the absolute maximum value is 16 at x = 1.

The derivative of the function f(x) = 15 + 2x - x^2 on the interval [0, 5] is f'(x) = -2x + 2. The critical number of the function is x = 1. The absolute minimum value of f on the interval is 5 at x = 0, and the absolute maximum value is 16 at x = 1.

To find the derivative of the function, we differentiate each term of the function with respect to x. The derivative of 15 is 0 since it is a constant. The derivative of 2x is 2, and the derivative of x^2 is 2x. Adding these derivatives together, we get f'(x) = 2 - 2x.

To find the critical numbers, we set the derivative equal to zero and solve for x: -2x + 2 = 0. Simplifying, we find x = 1 as the critical number.

To determine the absolute maximum and minimum values of f on the interval [0, 5], we evaluate the function at the endpoints and the critical number. At x = 0, f(0) = 15 + 2(0) - 0^2 = 15, and at x = 5, f(5) = 15 + 2(5) - 5^2 = 5. At the critical number x = 1, f(1) = 15 + 2(1) - 1^2 = 16. Comparing these values, we find that the absolute minimum value of f is 5 at x = 5, and the absolute maximum value is 16 at x = 1.

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prime numbers have

less than 2 numbers
more than 2 factors
exactly 2 factors
less than or equal to 2 factors

Answers

Answer:

wfddďdrfrrttyyyytgghhghhu

One side of a square measures 15cm. What is its area?

Answers

Answer:

Area = l^2

Answer is 225

Well the formula for area is length times breadth so the length = 15 and since all the sides of a square are equal the breadth also equals 15. So now we have to multiply.

So now 15 times 15 = 225 sq cm

Ans: 225 sq cm

Fifty people who watch television were recently polled as to
which type of program they preferred. The results are shown in
the table.


What percent of those surveyed preferred to watch new programs?

Fifty people who watch television were recently polled as towhich type of program they preferred. The

Answers

Answer:

A) 10%

Step-by-step explanation:

take the number who like to watch news and divide by 50 (total number)

5/50 = 0.1

multiply by 100 to get percent

.1 x 100 = 10

10%

what is 9x + 20y = −18

Answers

y = 1/10
Alternate form

- 1
y=-0.1, y=-10

Write the equation of the line parallel to

Y= 2x+ 3 that passes through the

point (6, -9).

Answers

The parallel line has an equation of y = 2x - 21

How to determine the line equation?

The equation is given as

y = 2x + 3

The equation of a line can be represented as

y = mx + c

Where

slope = m

By comparing the equations, we have:

m = 2

The slopes of parallel lines are equal

This means that the slope of the other line is 2

i.e. m = 2

Recall that:

The equation of a line can be represented as

y = mx + c

Where

slope = m = 2

Also, we have

(x, y) = (6, -9)

So, we have

-9 = 2 * 6 + c

This gives

c = -9 - 12

Evaluate

c = -21

So, we have

y = 2x - 21

Hence, the equation of the parallel line is y = 2x - 21

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What is the measure of the obtuse angle? 18 54 108 216

Answers

The measure of the obtuse angle in the triangle is 108 degrees.

How to find obtuse angles of a triangle?

A triangle is a polygon with three sides. The total sum of the angles in a triangle is 180 degrees.

Therefore, the measure of the obtuse angle in the triangle can be found as follows;

An obtuse angle is an angle which is greater than 90° and less than 180°.

Hence, the angles of the triangle are 1x, 3x and 6x.

3x + 1x + 6x = 180

10x = 180

x = 180 / 10

x = 18

Therefore, the obtuse angle of the triangle is 6(18) = 108 degrees.

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What is the measure of the obtuse angle? 18 54 108 216

Answer:

c) 108 on edgen

If f(x) = -3x + 1, find x if f(x) = -3.​

Answers

Answer:   ⁴/₃

Step-by-step explanation:

If f(x) = - 3 x  +  1

When f(x) = -3;    - 3x + 1  = -3

                           -3 x = - 4

                               x = ⁴/₃

Answer:

The answer is x= 4/3.

Step-by-step explanation:

When you go to check the answer you should get f(4/3) = -3.

Full working out for this question please.

Full working out for this question please.

Answers

Answer:

B. 3.2

Step-by-step explanation:

5 companies have 0 computers.

10 companies have 1 computer.

10 companies have 2 computers.

30 companies have 3 computers.

25 companies have 4 computers.

20 companies have 5 computers.

To find mean:

0 x 5 = 0

10 x 1 = 10

10 x 2 = 20

30 x 3 = 90

25 x 4 = 100

20 x 5 = 100

100 + 100 + 90 + 20 + 10 + 0 = 320

20 + 25 + 30 + 10 + 10 + 5 = 100

100 companies were surveyed.

100 companies use 320 computers in total.

320 / 100 = 3.2

I got 24 miles for each kind of gas in my car which one of the following is a equivalent radio of miles to gallons.
A. 48 to 2
B. 2 to 48
C. 1 to 24
D. 3 to 240

Answers

I believe that the answer is B

What is the m angle of 1?

Answers

Answer:

Below:

Step-by-step explanation:

The measure of angle 1 is 45*.

Hope it helps...

It's Ms-Muska

A bag contains purple marbles and white marbles, 30 in total. The number of purple marbles is 6 less than 5 times the number of white marbles. How many purple marbles are there?

Answers

The number of purple marbles is 24 and the white is 6.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a bag contains purple marbles and white marbles, 30 in total. The number of purple marbles is 6 less than 5 times the number of white marbles.

The number of marbles will be calculated as,

P+W = 30

P = 5W-6

5W  - 6 + W = 30

6W = 36

W = 6

P = 30 - 6 = 24

Therefore, the number of purple marbles is 24 and the white is 6.

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Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45" will carry the square onto itselt Which statement best describes Lucia's claim? a. Lucia's claim is incorrect since not all rotations that carry a square onto itself are multiples of 45
b. Lucia's claim is incorrect slace not all rotations that are multiples of 45' carry a square onto itself c. Lucia's daim is correct since any rotation that is a multiple of 45 canles a square onto tselt d. Lucia's calm is correct since any rotation that comes a square onto itself is a multiple of 45

Answers

The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

What is the rotational symmetry of a square?Two halves of the square when a mirror line is drawn resemble the same or similar, then that square is said to be in symmetry. When the square is rotated about an angle, then it remained the same as the original shape, then that square is said to be the rotational symmetry of a square.

Rotation of the given square and its symmetry according to the rotation:

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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Lucia draws a square and plots the center of the square. She claims that any rotation about the center

A policy analyst would like to predict salary from a set of four predictor variables for a sample of 45 athletic trainers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05.

Source SS df MS F P-value
Regression 20
Residual 400
TOTAL


What is your decision for the hypothesis test?

Reject the null hypothesis, H0:β1=β2=...=β4=0
Fail to reject H0


What is your final conclusion?

The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero

Answers

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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A bag contains equal numbers of green marbles and blue marbles. You can divide all of the green marbles into groups of 12 and all the blue marbles into groups of 16. Whatis the least number of each color of marble thatcan be in the bag

Answers

Answer: 48

Step-by-step explanation:

We need to find the least common multiple of 12 and 16.

Finding the prime factorizations of 12 and 16,

\(12=2^{2} \times 3\\\\16=2^{4}\)

Thus, the least common multiple is \(2^{4} \times 3=\boxed{48}\)

What is the volume of a cylinder with a radius of 7 feet and a height of 12 feet? Use 3.14 for pi. Round your answer to the nearest hundredth​

Answers

Given :-

Radius of cylinder is 7ft.Height is 12ft .

To Find :-

The volume of the cylinder .

Solution :-

As we know that the volume of the cylinder is ,

\(\longrightarrow\) Volume = πr²h

On substituting the respective values ,

\(\longrightarrow\) Volume = 3.14 * (7ft)²*12ft

\(\longrightarrow\) Volume = 3.14*49ft²*12ft

\(\longrightarrow\) Volume = 1846.32 ft.³

Hence the required answer is 1846.32 ft³.

what is the name for the triangular cartilage anterior to the auditory meatus?

Answers

The name for the triangle cartilage anterior to the auditory meatus is called the tragus.

The tragus is a small triangular cartilage that is located anterior to the auditory meatus. It is a small flap of cartilage that projects out from the side of the face and helps to protect the external auditory canal. It is located right above the lobe of the ear, and is covered with a thin layer of skin. It is known to be relatively sensitive, due to its numerous nerve endings. The tragus has a variety of functions, such as helping with hearing, as it helps to focus sound waves into the ear canal. It also helps to block out external noise, which is beneficial for those who are exposed to loud noises on a regular basis. It also helps to keep the ear canal clean, as it acts as a barrier against dirt, water, and other foreign objects. Additionally, it has an aesthetic function, as it is a defining feature of the human ear. Thus, the tragus can be seen as an important part of the structure and function of the human ear.

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solution.
6) -162-5-X
8 9 10 11
12
14 15 16 17 18

solution.6) -162-5-X8 9 10 111214 15 16 17 18

Answers

x ≥ 11 is the answer

Linda can attend either community college or university the annual cost for each are shown below. in the table what total cost to attend the university for four years

Linda can attend either community college or university the annual cost for each are shown below. in

Answers

Answer:

I believe it's 19279 if u need the answer to community college too tell me

Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)

Answers

Answer:

The answer to the equation is B.

Step-by-step explanation:

Answer:

i took the test and its B

Step-by-step explanation:

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