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  • 2.7: LU-Factorization
    https://math.libretexts.org/Bookshelves/Linear_Algebra/Linear_Algebra_with_Applications_(Nicholson)/02%3A_Matrix_Algebra/2.07%3A_LU-Factorization
    The solution to a system A\vectx=\vectb of linear equations can be solved quickly if A can be factored as A=LU where L and U are of a particularly nice form. In this section we show that Gaussian elim...The solution to a system A\vectx=\vectb of linear equations can be solved quickly if A can be factored as A=LU where L and U are of a particularly nice form. In this section we show that Gaussian elimination can be used to find such factorizations.
  • 3.1: The Matrix Transpose
    https://math.libretexts.org/Bookshelves/Linear_Algebra/Fundamentals_of_Matrix_Algebra_(Hartman)/03%3A_Operations_on_Matrices/3.01%3A_The_Matrix_Transpose
    The transpose of a matrix is an operator that flips a matrix over its diagonal. Transposing a matrix essentially switches the row and column indices of the matrix.
  • 2.7: LU-Factorization
    https://math.libretexts.org/Courses/Mount_Royal_University/Linear_Algebra_with_Applications_(Nicholson)/2%3A_Matrix_Algebra/2.7%3A_LU-Factorization
    The solution to a system A\vectx=\vectb of linear equations can be solved quickly if A can be factored as A=LU where L and U are of a particularly nice form. In this section we show that Gaussian elim...The solution to a system A\vectx=\vectb of linear equations can be solved quickly if A can be factored as A=LU where L and U are of a particularly nice form. In this section we show that Gaussian elimination can be used to find such factorizations.

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