PLEASE HELP ME!

Question

0

40

2

+124

is X= [2 -1] the inverse of A= [1/2 1/4] ?

6 -4. -2 -1/2

Help complete these statements.

The product of the matrices ____ the identity matrix. Therefore, X and A ____ inverses of each other.

These are matrices. please fill in the blank spaces. i appreciate you so much for reading. please help?

CPhill · Answer 1 · 2023-08-14T08:30:19

Inverse of a 2 x 2 matrix =

1/ (determinant) [ d -b ]

[ -c a]

det = (2 *-4) - (-1 * 6) = -8 + 6 = -2

So the inverse matrix = (-1/2) [- 4 1 ] = [ 2 -1/2 ]

[ -6 2 ] [ 3 -1 ]

First blank "equal"

Second blank "are"