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Question
Identify the following matrix is singular or non-singular?
`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`
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Solution
Let C = `[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`
∴ |C| = `|(3, 5, 7),(-2, 1, 4),(3, 2, 5)|`
= 3(5 – 8) – 5 ( – 10 – 12) + 7 ( – 4 – 3)
= – 9 + 110 – 49
= 52 ≠ 0
∴ C is a non-singular matrix.
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