DETERMINANTS AND INVERSE MATRICES. I. Determinants of 2x2 A. Formula.
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DETERMINANTS AND INVERSE MATRICES
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Transcript of DETERMINANTS AND INVERSE MATRICES. I. Determinants of 2x2 A. Formula.
I. Determinants of 2x2
B. Examples. Find the determinant.
Ex 1.
Ex 2. Ex 3.
Remark: Matrix with determinant 0 is called singular.
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II. Determinants of 3x3
A.Steps1.Rewrite columns 1 and 2 to the right of column 3.2.Multiply down-diagonals and add them together.3.Multiply up-diagonals and add them together.4.Subtract: down-diagonals – up-diagonals
III.Inverse MatricesRemark: A matrix has an inverse if and only if .
Determine whether A has an inverse.
Ex 1. Ex 2.