Question
Download Solution PDFThe inverse of the matrix A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
We know that
Given, A =
|A| = 1.(-12 - 12) - 1.(-4 - 6) + 3.(-4 + 6)
|A| = -24 + 10 + 6
|A| = -8
Next, Find the cofactor matrix of
The cofactor matrix consists of all cofactors of the given matrix, which are calculated according to the formula
where Mij is the minor, i.e. the determinant of the submatrix formed by deleting row i and column j from the given matrix.
Calculate all cofactors:
Thus, the cofactor matrix is
The transpose of the cofactor matrix is
Thus, the adjoint matrix is
Last updated on Jun 19, 2025
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