Question

If A = `[(0, 1),(1, 0)]`, then A² is equal to ______.

विकल्प

• `[(0, 1),(1, 0)]`

• `[(1, 0),(1, 0)]`

• `[(0, 1),(0,1)]`

• `[(1, 0),(0, 1)]`

Answer 1

If A = `[(0, 1),(1, 0)]`, then A² is equal to `[(1, 0),(0, 1)]`.

Explanation:

Given that A = `[(0, 1),(1, 0)]`

A² = A . A

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

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

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