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Question
Identify the singular and non-singular matrices:
`[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`
Solution
Let A = `[(1, 2, 3),(4, 5, 6),(7, 8, 9)]`
|A| = `|(1, 2, 3),(4, 5, 6),(7, 8, 9)|`
|A| = 1(45 – 48) – 2(36 – 42) + 3(32 – 35)
|Al = – 3 – 2 × – 6 + 3 × – 3
|A| = – 3 + 12 – 9
|A| = – 12 + 12 = 0
∴ A is a singular matrix.
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