Lecture 4 a Gaussian Elimination Example
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چکیده
To solve: 1 1 1 x 1 x 2 = 1 1 First factor the matrix to get: 1 0 1 1 1 0 1 − 1 x 1 x 2 = 1 1 Next solve: 1 0 1 1 y 1 y 2 = 1 1 To get: Which is the solution to the original system. When viewed this way, Gaussian elimination is just LU factorization of a matrix followed by some simple substitutions.
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