# Worksheet: Properties of Inverse Matrices

Q1:

Given that find .

• A
• B
• C
• D
• E

Q2:

Consider the shown matrix . Find .

• A
• B
• C
• D
• E

Q3:

Consider the shown matrix . Find .

• A
• B
• C
• D
• E

Q4:

Consider the shown matrix . Find .

• A
• B
• C
• D
• E

Q5:

Consider the shown matrix . Find .

• A
• B
• C
• D
• E

Q6:

If is a matrix, which of the following is equal to ?

• A
• B
• C
• D
• E

Q7:

Given that determine .

• A
• B
• C
• D

Q8:

Given that find .

• A
• B
• C
• D

Q9:

Suppose , and are invertible matrices. Which of the following is false?

• A is invertible.
• B
• C
• D does not have full rank.

Q10:

If is a matrix, which of the following is equal to ?

• A
• B
• C
• D

Q11:

If is the identity matrix, which of the following is equal to ?

• A
• B
• C
• D

Q12:

Given that find .

• A
• B
• C
• D

Q13:

Given that find .

• A
• B
• C
• D

Q14:

Given that find .

• A
• B
• C
• D

Q15:

If and are both nonsingular matrices, then what is the value of ?

• A
• B
• C
• D