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Question
Answer the following question:
Find the value of x if
`|(1, 2x, 4x),(1, 4, 16),(1, 1, 1)| = 0`
Sum
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Solution
`|(1, 2x, 4x),(1, 4, 16),(1, 1, 1)| = 0`
∴ 1(4 – 16) – 2x(1 – 16) + 4x(1 – 4) = 0
∴ 1(–12) – 2x(–15) + 4x(–3) = 0
∴ –12 + 30x – 12x = 0
∴ 18x = 12
∴ x = `12/18`
= `2/3`
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Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(A) [Page 76]
