Question

if A is a square matrix x such that A^2=1,then A^-1 is:​​

Answer 1

Step-by-step explanation:

A

2

=1 can be witten as

A

2

=I

multiply A

−1

on both side

A

−1

×(A×A)=A

−1

×I

(A

−1

×A)×A=A

−1

I×A=A

−1

A

−1

=A