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Question
If Cij is the cofactor of the element aij of the matrix \[A = \begin{bmatrix}2 & - 3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & - 7\end{bmatrix}\], then write the value of a32C32.
Solution
In the given matrix \[A = \begin{bmatrix}2 & - 3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & - 7\end{bmatrix}\]
C32 = (−1)3 + 2 (8 − 30) = 22
Therefore, a32C32 = 5 × 22 = 110.
Hence, the value of a32C32 is 110.
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