# LU Factorization Calculator

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This calculator is also known as LU factorization, which was introduced by mathematician Tadeusz Banachiewicz in the year 1938. It refers to the factorization of a square matrix A, with proper row and/or column orderings or permutations into two factors, namely, a lower triangular matrix L and an upper triangular matrix U.

The term ‘LU’ stands for ‘lower upper’. A usual Triangular matrix is a special one-of-a-kind of square matrix, which can be designated as lower triangular (when all the entries above the main diagonal are always zero) and upper triangular (when all the entries below the main diagonal are zero).

The LU Decomposition of square matrices is applied in numerical analysis and linear algebra. It can also be viewed as the matrix form of Gaussian elimination.

The formula that is used here is:

A = PLU Where, A = Square Matrix P = Permutation Matrix L = Lower Triangular Matrix U = Upper Triangular Matrix

Step 1: To Begin with, you will be required to select the number of rows and columns in your Matrix, and press the “Create Matrix” button. The number of Rows and Columns (only square matrices can be factorized into A=LU).

Step 2: Now, simply enter the values for your matrix and hit the “Solve” button.