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Question
Evaluate the following determinants: `|(3, -4, 5),(1, 1, -2),(2, 3, 1)|`
Solution
`|(3, -4, 5),(1, 1, -2),(2, 3, 1)|`
= `3|(1, -2),(3, 1)| -(-4)|(1, -2),(2, 1)| + 5|(1, 1),(2, 3)|`
= 3(1 + 6) + 4(1 + 4) + 5(3 – 2)
= 3(7) + 4(5) + 5(1)
= 21 + 20 + 5
= 46
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