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Question
Without expanding evaluate the following determinant:
`|(2, 7, 65),(3, 8, 75),(5, 9, 86)|`
Solution
Let D = `|(2, 7, 65),(3, 8, 75),(5, 9, 86)|`
Applying C3 → C3 – 9C2, we get
D = `|(2, 7, 2),(3, 8, 3),(5, 9, 5)|`
= 0 ...[∵ C1 and C3 are identical]
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