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

Answer 1

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