Difference between revisions of "Invertible matrix"
Jump to navigation
Jump to search
(a start) |
(I is better than 1...) |
||
| Line 1: | Line 1: | ||
An '''invertible matrix''' ''A'' is one that has a corresponding [[matrix]] ''B'' such that: | An '''invertible matrix''' ''A'' is one that has a corresponding [[matrix]] ''B'' such that: | ||
| − | :''AB'' = ''BA'' = | + | :''AB'' = ''BA'' = I (I: [[identity matrix]]) |
A matrix is invertible if and only if it has a nonzero determinant. Only square matrices (''n'' x ''n'') are invertible. | A matrix is invertible if and only if it has a nonzero determinant. Only square matrices (''n'' x ''n'') are invertible. | ||
Revision as of 17:53, May 9, 2010
An invertible matrix A is one that has a corresponding matrix B such that:
- AB = BA = I (I: identity matrix)
A matrix is invertible if and only if it has a nonzero determinant. Only square matrices (n x n) are invertible.