Question
Download Solution PDFWhat is the minor, M23 of \( \begin{bmatrix} 0 & 4 & 6\\ -4 & 0&-2 \\ -6& 2 & 0 \end{bmatrix}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let, A = [aij] be a square matrix.
To compute the minor, Mij, and the cofactor, Cij, we find the determinant of the given matrix with row i and column j removed.
So, Cij = (-1)i+j Mij , where, Mij = Minor of matrix A
Calculation:
Given:
\( \begin{bmatrix} 0 & 4 & 6\\ -4 & 0&-2 \\ -6& 2 & 0 \end{bmatrix}\)
Removing the 2nd row and 3rd column we obtain the determinant as
\(\begin{vmatrix} 0 & 4\\ -6 & 2\end{vmatrix}\)
= 0 × 2 - (-6) × 4
= 24
Last updated on Jun 20, 2025
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