Quiz about Matrix Properties

Question 1

In regards to matrices, $$AA^{-1}=?$$

Accepted Answer

$$I$$

Answer

$$A$$

Answer

$$A^{-1}$$

Answer

$$B$$

Question 2

In regards to matrices, does AB=BA?

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 3

In regards to matrices, does AI=IA?

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 4

What must be true in order to ADD two matrices?

Accepted Answer

The dimensions must be equal.

Answer

They must be square.

Answer

The determinant can't equal 0.

Answer

The column of the 1st must equal the row of the 2nd.

Question 5

You can multiply a 2X3 matrix by which matrix?

Accepted Answer

3X3

Accepted Answer

3X2

Answer

2X2

Answer

2X3

Question 6

In regards to matrices, $$AI=?$$

Accepted Answer

$$A$$

Answer

$$I$$

Answer

$$A^{-1}$$

Answer

$$B$$

Question 7

In regards to matrices, does $$AB=I$$

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 8

In regards to matrices, does A+B=B+A?

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 9

In regards to matrices, if $$AB=I$$ what do you know about matrix B?

Accepted Answer

It's the inverse of matrix A

Answer

It's the same as matrix A

Answer

It only has 1's and 0's

Answer

It's determinant is 0

Question 10

If $$A=B^{-1}$$ , will $$AB=BA$$ ?

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 11

If $$AB=BA$$ , then will $$A=B^{-1}$$ ?

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 12

If matrix A has order 2x3 and matrix B has order 3x5, will AB=BA?

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Question 13

If matrix A and matrix B both have order 5x5, will AB=BA?

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 14

If $$A\cdot X=B$$ , then will $$X=\frac{B}{A}$$ ?

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Matrix Properties

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