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by Ciro Santilli (@cirosantilli, 37)

Invertible matrix

 ... Area of mathematics Algebra Linear algebra Matrix Matrix operation Matrix inverse
 1 By others on same topic  0 Discussions  Updated 2025-06-17  +Created 1970-01-01  See my version
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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  1. Matrix inverse
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  • Determinant
  • Eigendecomposition of a matrix
  • Inverse element
  • Invertible matrix
  • Matrix inverse

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 Articles by others on the same topic (1)

Invertible matrix by Wikipedia Bot 0  1970-01-01
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An **invertible matrix** (also known as a non-singular matrix or non-degenerate matrix) is a square matrix \( A \) that has an inverse. This means there exists another matrix \( B \) such that: \[ AB = BA = I \] where \( I \) is the identity matrix of the same dimension as \( A \). A matrix is invertible if and only if its determinant is non-zero (i.e.
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