Quiz about Invertible

Question 1

When you multiply a matrix by the inverse matrix, you obtain the

Accepted Answer

Identity matrix

Answer

inverse matrix.

Answer

transpose matrix.

Answer

original matrix.

Question 2

Is the function $$f\left(x\right)=x^{ }$$ invertible?

Accepted Answer

Yes, it is invertible.

Answer

No, it is NOT invertible.

Question 3

Is the function $$f\left(x\right)=x^2$$ invertible?

Accepted Answer

No, it is NOT invertible.

Answer

Yes, it is invertible.

Question 4

Is the function $$f\left(x\right)=x^3$$ invertible?

Accepted Answer

Yes, it is invertible.

Answer

No, it is NOT invertible.

Question 5

Is the function $$f\left(x\right)=x^a$$ invertible when a is an odd number?

Accepted Answer

Yes, it is invertible. Odd power functions are invertible.

Answer

No, it is NOT invertible if a is odd. Odd power functions are NOT invertible.

Question 6

Is the function $$f\left(x\right)=x^a$$ invertible when a is an even number?

Accepted Answer

No, it is NOT invertible if a is even. Even power functions are NOT invertible.

Answer

Yes, it is invertible. Even power functions are invertible.

Question 7

Select all the invertible functions:

Accepted Answer

$$y=\sqrt[]{x+4}$$

Accepted Answer

Accepted Answer

$$y=\log_4\left(x+3\right)$$

Answer

$$y=x^2-2$$

Answer

$$y=2\left|4x+5\right|-5$$

Question 8

Determine if the matrix has an inverse, if so find it.

Accepted Answer

0 1 -1 2

Answer

No

Answer

-1 3 1 -2

Answer

2 -1 -1 1

Question 9

Find the inverse of the matrix, if it exists.

Accepted Answer

singular, no inverse

Answer

B.

Answer

C.

Answer

D.

Question 10

Question 10.

Accepted Answer

Option B is correct

Answer

Answer

C.

Answer

D.

Invertible