Matrix Inverse

A Matrix Inverse is a matrix that is the output of a matrix inversion operation for an invertible matrix.

• AKA: Reciprocal Matrix.
• Context:
  • It can be produced by a Matrix Inverse Task.
  • It can be represented with [math]\displaystyle{ \mathbf{A}^{\mathrm{-1}} }[/math].
• Example(s):
  • for a symmetric matrix ...
  • …
• Counter-Example(s):
  • Matrix Transpose.
• See: Main Diagonal, Symmetric Matrix, Skew-Symmetric Matrix, Complex Number, Complex Conjugate, Hermitian Matrix, Conjugate Transpose, Skew-Hermitian Matrix, Orthogonal Matrix.

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References

2014

• http://mathworld.wolfram.com/MatrixInverse.html
  • QUOTE: The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix [math]\displaystyle{ A^{-1} }[/math] such that :[math]\displaystyle{ AA^{-1}=I, (1) }[/math] where I is the identity matrix.

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