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