Question

A is a 4x4 matrix.
Given the determinant of A = 0.5.
Find the determinant of
(a)A^-1
(b)A^2
(c)A^-2

Answer 1

|AB| = |A|.|B|
use the propety A^-1*A= I

Answer 2

use the first property to get values of (b) and (c)

Answer 3

Thank You..!! :) ..!!
I understood for b & c ..!!
Could elaborate a little further on a)..??
Please..!!
:)