Question

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

विकल्प

• `[(1,1),(0,0)]`

• `[(0,0),(1,1)]`

• `[(1,0),(0,1)]`

• `[(0,1),(1,0)]`

Answer 1

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

Explanation:

If A = `[(0,1),(1,0)]` 

Then,

A² = A × A

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

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