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If P = \(\begin{bmatrix} 1 &x&0\\[0.3em] 1&3&0\\2&4&-2 \\[0.3em] \end{bmatrix}\) is the adjoint of 3 × 3 matrix A and |A| = 4, then x is ______ (a) 15 (b) 12 (c) 14 (d) 11 |
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Answer» (d) 11 Given |A| = 4 and P is the adjoint matrix of A |P| = 42 = 16 ⇒ -2(3 – x) = 16 ⇒ -6 + 2x = 16 ⇒ 2x = 22 ⇒ x = 11 |
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