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Question
Answer the following question:
If A = `[(2, -2, -4),(-1, 3, 4),(1, -2, -3)]` show that A2 = A
Solution
A2 = A.A = `[(2, -2, -4),(-1, 3, 4),(1, -2, -3)] [(2, -2, -4),(-1, 3, 4),(1, -2, -3)]`
= `[(4 + 2 - 4, -4 - 6 + 8, -8 - 8 + 12),(-2 - 3 + 4, 2 + 9 - 8, 4 + 12 - 12),(2 + 2 - 3, -2 - 6 + 6, -4 - 8 + 9)]`
= `[(2, -2, -4),(-1, 3, 4),(1, -2, -3)]`
∴ A2 = A
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