# Worksheet: Inverse of a 2x2 Matrix

Q1:

Find the inverse of the matrix .

• A
• B
• C
• D
• E

Q2:

Find the set of real values of for which has a multiplicative inverse.

• A
• B
• C
• D
• E

Q3:

Given that find .

• A
• B
• C
• D

Q4:

Find the multiplicative inverse of

• A
• B
• C
• D

Q5:

Given that find the matrix .

• A
• B
• C
• D

Q6:

Is the following matrix invertible?

• Ayes
• Bno

Q7:

Find the multiplicative inverse of the following matrix if possible.

• A
• B
• C
• D has no multiplicative inverse.

Q8:

Using the elementary row operation, find for the matrix if possible.

• A
• B
• C
• D
• E

Q9:

Given find its multiplicative inverse if possible.

• A
• B
• C has no multiplicative inverse.
• D

Q10:

Solve for matrix in the matrix equation , where

• A
• B
• C
• D
• E

Q11:

Find the multiplicative inverse of .

• A
• B
• C
• D

Q12:

Find the multiplicative inverse of the matrix , if possible.

• A
• B has no multiplicative inverse.
• C
• D
• E

Q13:

Find the multiplicative inverse of the matrix , if possible.

• A
• B has no multiplicative inverse.
• C
• D
• E

Q14:

Find the multiplicative inverse of the matrix , if possible.

• A
• B has no multiplicative inverse.
• C
• D
• E

Q15:

Are the following matrices multiplicative inverses of each other?

• Ano
• Byes

Q16:

Consider the matrices and . Determine

• A
• B
• C
• D

Q17:

Given that the matrix is invertible, what must be true of .

• A
• B
• C
• D
• E

Q18:

Find the multiplicative inverse of

• A
• B
• C
• D

Q19:

Find the inverse of the matrix .

• A
• B
• C
• D
• E

Q20:

Consider the matrix equation

• A
• B
• C
• D
• E

Q21:

Is the matrix invertible?

• AYes
• BNo

Q22:

Find the inverse of the following matrix.

• A
• B
• C
• D
• E