# 5. -18.33 points Consider the following matrix, A. For what value of k will Al-20? 6....

5. -18.33 points Consider the following matrix, A. For what value of k will Al-20? 6. -18.33 points Consider the following matrix, A. For what value of p will A-1 not exist? Submit Answer 7. -18.33 points WaneFMAC7 5.3.067. If A and B are square matrices with AB = I and BA = I, then which of the following is true? At least one of A and B is singular. O A and B must both be singular. O A and B must be equal. OB is the inverse of A.

(5)

Determinant of Matrix A = (5 X 3) - (2 X k) = 15 - 2k

Given:

Determinant of Matrix A = 20

So,

15 - 2k = 20

So,

2k = 15 - 20 = - 5

So,

k = - 2.5

So,

- 2.5

(b)

A-1 will not exist if determinant of A = 0

Determinant of matrix A = (6 X 3) - (4 X p)

= 18 - 4p

Thus,

A-1 will not exist if 18 - 4p = 0

i.e.,

p = 18/4 = 4.5

So,

4.5

(c)

Correct option:

B is the inverse of A

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