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  • 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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  1. Example of finding the inverse of a 3-by-3 matrix by row reducing the augmented matrix

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  • Example of finding the inverse of a 2-by-2 matrix by row reducing the augmented matrixClose match
  • The inverse of a matrix (if it exists) can be found by row reducing the matrix augmented by the identity matrix.Close match
  • Example of finding the inverse of a 2-by-2 matrix by using a formulaClose match
  • Example of finding the inverse of a 3-by-3 matrix by using Cramer's ruleClose match
  • Example of row reducing a 3-by-3 matrixClose match
  • The inverse of a matrix can be used to solve a linear system.Close match
  • Example of row reducing a 4-by-4 matrixClose match
  • Matrix inverse is an involution.Close match
  • Definition of right inverse of a matrixClose match
  • Example of solving a 3-by-3 matrix equationClose match
  • Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrixClose match
  • Definition of inverse of a matrixClose match
  • For n-by-n invertible matrices A and BClose match
  • Matrix transpose commutes with matrix inverse.Close match
  • Formula for the inverse of a 2-by-2 matrix.Close match
  • If a square matrix has a one-sided inverseClose match
  • Matrix inverses are unique: if A and B are square matricesClose match
  • Example of multiplying 3x3 matricesClose match
  • If a matrix has both a left and a right inverseClose match
  • Definition of left inverse of a matrixClose match

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