Difference between revisions of "Inverse matrix"
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| − | An '''inverse matrix''', or inverse of a [[matrix]], is the square matrix that produces the [[identity matrix]] when multiplied by its corresponding inverse. For a given matrix <math>A</math> the inverse exists if and only if the [[determinant]] of <math>A</math> is non-zero, <math>\det A \neq 0</math>. The inverse of an inverse is the original matrix. | + | An '''inverse matrix''', or [[inverse]] of a [[matrix]], is the square matrix that produces the [[identity matrix]] when multiplied by its corresponding inverse. For a given matrix <math>A</math> the inverse exists if and only if the [[determinant]] of <math>A</math> is non-zero, <math>\det A \neq 0</math>. The inverse of an inverse is the original matrix. |
The formula for finding the inverse of a 2x2 matrix is as follows: | The formula for finding the inverse of a 2x2 matrix is as follows: | ||
Revision as of 21:58, January 24, 2012
An inverse matrix, or inverse of a matrix, is the square matrix that produces the identity matrix when multiplied by its corresponding inverse. For a given matrix Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A} the inverse exists if and only if the determinant of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A} is non-zero, . The inverse of an inverse is the original matrix.
The formula for finding the inverse of a 2x2 matrix is as follows:
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