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If Cij is the Cofactor of the Element Aij of the Matrix a = ⎡ ⎢ ⎣ 2 − 3 5 6 0 4 1 5 − 7 ⎤ ⎥ ⎦ , Then Write the Value of A32c32. - Mathematics

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प्रश्न

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.

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उत्तर

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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अध्याय 7: Adjoint and Inverse of a Matrix - Exercise 7.3 [पृष्ठ ३६]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 7 Adjoint and Inverse of a Matrix
Exercise 7.3 | Q 21 | पृष्ठ ३६

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