Linear algebra is about the simplification of matrices. Broadly speaking, there are two types of matrix simplifications. Matrices can be simplified through a method called elimination or matrices can be simplified through a process called spectral decomposition. Matrix simplification through elimination produces diagonal and triangular matrices and is used extensively in the solution of linear systems of the form
$$ Ax = b. $$
KeywordsLinear Algebra Triangular Matrix Main Diagonal Gaussian Elimination Triangular Matrice
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