Matrix Inverse
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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):
- See: Main Diagonal, Symmetric Matrix, Skew-Symmetric Matrix, Complex Number, Complex Conjugate, Hermitian Matrix, Conjugate Transpose, Skew-Hermitian Matrix, Orthogonal Matrix.
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.