Question

If A = `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`, then A^-1 = ______ 

विकल्प

• I

• -I

• -A

• A

Answer 1

If A = `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`, then A^-1 = A 

Explanation:

`A^-1 = 1/|A|`(adj A)

= `1/(-1)[(0, 0, -1), (0, -1, 0), (-1, 0, 0)]`

= `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`

∴ `A^-1 = A`