Matrix inverse: Difference between revisions
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imported>Márton Molnár m (New page: The '''inverse''' of a square matrix '''A''' is '''X''' if :<math>\mathbf{AX} = \mathbf{XA} = \mathbf{I}_n \ </math> ('''I'''<sub>''n''</sub> is the ''n''-by-''n'...) |
imported>Todd Coles No edit summary |
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The '''inverse''' of a square [[matrix(mathematics)|matrix]] '''A''' is '''X''' if | The '''inverse''' of a square [[matrix(mathematics)|matrix]] '''A''' is '''X''' if | ||
Revision as of 12:12, 23 January 2008
The inverse of a square matrix A is X if
(In is the n-by-n identity matrix). If this equation is true, X is the inverse of A, denoted by A-1 ( and A is the inverse of X).
A matrix is invertible if and only if its determinant does not equal zero.