Lesson Worksheet: Inverse of a 2 × 2 Matrix Mathematics
In this worksheet, we will practice checking whether a 2 × 2 matrix has an inverse and then finding its inverse, if possible.
Q5:
Find the set of real values of for which has a multiplicative inverse, where .
- A
- B
- C
- D
Q6:
Find the set of real values of for which has no multiplicative inverse.
- A
- B
- C
- D
- E
Q7:
Find the value of that makes the matrix singular.
Q8:
Find the inverse of the matrix .
- A
- B
- C
- D
- E
Q9:
Under what condition on and is the matrix invertible?
- A
- B
- C
- D
- E
Q10:
Which of the following matrices is singular?
- A
- B
- C
- D
Q11:
Find all the values of for which the matrix is singular.
- A196
- B
- C
- D4
Q12:
Are the matrices multiplicative inverses of each other?
- AYes
- BNo