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Question
Which of the following matrices are singular or non singular?
`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`
Solution
Let A = `[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`
∴ |A| = `|(3, 5, 7),(-2, 1, 4),(3, 2, 5)|`
= 3(5 – 8) – 5(–10 – 12) + 7(– 4 – 3)
= 3(– 3) – 5(–22) + 7(–7)
= – 9 + 110 – 49
= 52 ≠ 0
∴ A is a non-singular matrix.
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