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Diff — Invertible matrix

Revision #1987 → #2405 · back to history

modifiedInvertible matrix (formal)a6c848abc568
FieldFrom #1987To #2405
anchors[{"section":"Definition","snippet":"An n -by- n square matrix A is called invertible if there exists an n -by- n square matrix B such that"},{"type":"math_alttext","value":"{\\displaystyle \\mathbf {AB} =\\mathbf {BA} =\\mathbf {I} _{n},}"}]
addedUniqueness of matrix inverse2a14190abbfd
modifiedMatrix inversionac19024cb967
FieldFrom #1987To #2405
anchors[{"section":"Definition","snippet":"Matrix inversion is the process of finding the matrix which when multiplied by the original matrix gives the identity matrix"},{"type":"math_alttext","value":"{\\displaystyle \\mathbf {AB} =\\mathbf {BA} =\\mathbf {I} _{n},}"}]
addedDeterminant-nonzero criterion (alternative definition)d6ffacf9f674
addedColumns of invertible matrix form a basisdfaf263ff199
addedZero is not an eigenvalue of an invertible matrix0d7e4d056efb
addedInvertible matrix is product of elementary matricesb5462efbcab9
addedMoore–Penrose generalized inverse1741937a9c44