Conclusion · For each element, calculate the determinant of the values not on the row or column, to make the Matrix of Minors · Apply a checkerboard of minuses to ...
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In order to find the inverse of a 3x3 matrix you need to be able to calculate the cofactor matrix based on the minors of each element. In this tutorial I sho...
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Cofactor of Matrix (3×3 and 2×2) Let A = [ a i j] be a square matrix of order n. The cofactor C i j of a i j in A is equal to ( − 1) i + j times the determinant of the sub-matrix of order (n – 1) obtained by leaving i i t h row and j i t h column of A. It follows from this definition that. C i j = Cofactor of a i j in A = ( − 1) i + j M ...
Cofactor of Matrix (3×3 and 2×2) Let A = [ a i j] be a square matrix of order n. The cofactor C i j of a i j in A is equal to ( − 1) i + j times the determinant of the sub-matrix of order (n – 1) obtained by leaving i i t h row and j i t h column of A. It follows from this definition that. C i j = Cofactor of a i j in A = ( − 1) i + j M ...
This page describes specific examples of cofactor expansion for 3x3 matrix and 4x4 matrix . semath info. Cofactor expansion Examples . Table of contents - Example: $3 \times 3$ matrix - Example: $4 \times 4$ matrix: Example: $3 \times 3$ Expand by cofactors (a) along the first column, (b) along the ...