Now you are in the subtree of Container for Linear Algebra project.
- Definition of left inverse of a matrix
- Definition of right inverse of a matrix
- Definition of inverse of a matrix
- Definition of invertible matrix
- If a matrix has both a left and a right inverse
- If a square matrix has a one-sided inverse
- Formula for the inverse of a 2-by-2 matrix.
- Matrix inverse is an involution.
- For n-by-n invertible matrices A and B
- The product of square matrices is nonsingular if and only if each factor is nonsingular.
- The inverse of a scalar multiple is the reciprocal times the inverse.
- Matrix transpose commutes with matrix inverse.
- The inverse of a matrix (if it exists) can be found by row reducing the matrix augmented by the identity matrix.
- Example of finding the inverse of a 2-by-2 matrix by row reducing the augmented matrix
- Example of finding the inverse of a 2-by-2 matrix by using a formula
- Example of finding the inverse of a 3-by-3 matrix by row reducing the augmented matrix
- Example of finding the inverse of a 3-by-3 matrix by using Cramer's rule
- The inverse of a matrix can be used to solve a linear system.
- Matrix inverses are unique: if A and B are square matrices
- Definition of generalized inverse of a matrix
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