Question

Given matrices S and T below, which statement is true?

S=( 4 11
-3 -8)

T=(-8 -11
3 4)



Matrices S and T are not inverses of each other because S+T mc016-3.jpg I.
Matrices S and T are inverses of each other because ST = TS = I.
Matrices S and T are inverses of each other because the determinant of S is 1.
Matrices S and T are not inverses of each other because the determinant of S equals the determinant of T.

Answer 1

Explanation:

The answer is B

Answer 2

The matrices are
S =(4 11 T= ( -8 11
-3 -8) 3 4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
ST will be
( 4 11 × (-8 11 = ( 1 0
-3 -8) -3 -4) 0 1)
and also TS
( -8 11 × (4 11 = ( 1 0
-3 -4) -3 -8) 0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I



.