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Question
If the inverse of the matrix `[(alpha, 14, -1),(2, 3, 1),(6, 2, 3)]` does not exists then find the value of α
Solution
As inverse of the matrix does not exist, its determinant is zero.
∴ `|(alpha, 14, -1),(2, 3, 1),(6, 2, 3)|` = 0
∴ α(9 – 2) – 14(6 – 6) –1(4 – 18) = 0
∴ α(7) – 0 + 14 = 0
∴ α = – 2
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