Question

let A is a nob singular matrix such that A^2 + A - I = 0 ​

Answer 1

Answer:

6l

Explanation:

Given A be non-singular matrix.

So inverse of A exist.

(A−2I)(A−4I)=0

(A

2

−2A−4A+8I)=0

(A

2

−6A+8I)=0

Multiplying by A

−1

we get

(A

2

−6A+8I)A

−1

=0

A−6I+8A

−1

=0

A+8A

−1

=6I