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Question
Find the value(s) of x, if `|(2, 1, x + 1),(-1, 3, -4),(0, -5, 3)|` = 0
Solution
`|(2, 1, x + 1),(-1, 3, -4),(0, -5, 3)|` = 0
∴ `2|(3, -4),(-5, 3)| - 1|(-1, -4),(0, 3)| + (x + 1) |(-1, 3),(0, -5)|` = 0
∴ 2(9 – 20) – 1 (– 3 – 0) + (x + 1) (5 –0) = 0
∴ 2(– 11) – 1(– 3) + (x + 1)(5) = 0
∴ – 22 + 3 + 5x + 5 = 0
∴ 5x = 14
∴ x = `14/5`
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