Invertible matrix

In linear algebra, there are certain matrices which have the property that when they are multiplied with another matrix, the result is the identity matrix $I$ (the matrix with ones on its main diagonal and 0 everywhere). If $A$ is such a matrix, then $A$ is called invertible and its inverse is called $A^{- 1}$ , with:

A \cdot A^{- 1} = A^{- 1} \cdot A = I

There are algorithms for calculating the inverse of a matrix, with Gaussian elimination being a common example. The problem is that finding the inverse is relatively expensive to do for big matrices. Matrix inversion is used extensively in computer graphics.

Related pages

References

↑ "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-09-08.
↑ Weisstein, Eric W. "Matrix Inverse". mathworld.wolfram.com. Retrieved 2020-09-08.

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[1] "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-09-08.

[2] Weisstein, Eric W. "Matrix Inverse". mathworld.wolfram.com. Retrieved 2020-09-08.