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by Ciro Santilli (@cirosantilli, 37)

Matrix inverse (M−1)

 ... Mathematics Area of mathematics Algebra Linear algebra Matrix Matrix operation
 0 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
When it exists, which is not for all matrices, only invertible matrix, the inverse is denoted:
M−1
(1)
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    • Invertible matrix Matrix inverse

Invertible matrix

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Matrix inverse Tags: Named matrix
The set of all invertible matrices forms a group: the general linear group with matrix multiplication. Non-invertible matrices don't form a group due to the lack of inverse.

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  • Change of basis matrix
  • Inverse of the transpose
  • The orthogonal group is the group of all invertible matrices where the inverse is equal to the transpose

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