1.4_Matrix_Algebra_part1.pdf - Part I Matrix Inverse...

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Part I
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Matrix InverseAn n×nmatrix Bis the inverseof (square) n×nmatrix Aif࠵?࠵? = ࠵?࠵? = ࠵?(DefinitionExample:Let ࠵? =21−11and B =-.-.-./.࠵?࠵? =21−11-.-.-./.=࠵?࠵? =-.-.-./.21−11=so B is the inverse of A
If ࠵?is the inverse of ࠵?then ࠵?is the inverse of ࠵?The inverse ࠵?of a (square) matrix ࠵?is unique when it exists. In this case ࠵?is invertibleor nonsingular

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