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Question
Evaluate the following determinant:
`|(3, -5, 2),(1, 8, 9),(3, 7, 0)|`
Solution
`|(3, -5, 2),(1, 8, 9),(3, 7, 0)|`
= `3|(8, 9),(7, 0)| - (- 5)|(1, 9),(3, 0)| + 2|(1, 8),(3, 7)|`
= 3(0 – 63) + 5(0 – 27) + 2(7 – 24)
= 3(– 63) + 5(– 27) + 2(– 17)
= – 189 – 135 – 34
= –358
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