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The value of k, for which is A = \(\begin{bmatrix}k & 12 \\3 & 3k \end{bmatrix}\) singular matrix is |
\(2\sqrt { 3 }\) \(-2\sqrt { 3 }\) Both (a) and (b) None of these |
Both (a) and (b) |
Finding the determinant and equating it to 0. \(3 { k }^{ 2 } - 36 = 0\) \(3 ({ k }^{ 2 } - 12) = 0\) \({ k }^{ 2 } - 12= 0\) \({ k }^{ 2 } = 12\) k = \(2\sqrt { 3 }\), \(-2\sqrt { 3 }\) |
