InterviewSolution
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InterviewSolution
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Evaluate:\(\begin{bmatrix} 1^2&2^2 & 3^2 \\[0.3em] 2^2 & 2^2 & 4^2 \\[0.3em] 3^2 & 4^2 & 5^2 \end{bmatrix}\) |(1^2,2^2,3^2)(2^2,2^2,4^2)(3^2,4^2,5^2)| |
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Answer» \(\begin{bmatrix} 1^2&2^2 & 3^2 \\[0.3em] 2^2 & 2^2 & 4^2 \\[0.3em] 3^2 & 4^2 & 5^2 \end{bmatrix}\) = \(\begin{vmatrix}1 & 4& 9 \\[0.3em]4 & 9 & 16 \\[0.3em]9 & 16& 25\end{vmatrix}\) Expanding by first row, we get, 1(9 × 25 - 16 × 16) + 4(16 × 9 - 4 × 25) + 9(4 × 16 - 9 × 9) = - 31 + 176 - 153 =- 8 |
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