MathAlgebraLinear algebraMatrix decomposition

Applications of LU-decomposition

How to solve a linear equation system?

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Put the steps of solving a linear equation system via LU-decomposition in the right order.

Put the items in the correct order
Factorize the matrix AA as a product of LULU
Substitute LULU into the equation Ax=bAx=b instead of AA
Solve the equation Ly=bLy=b
Solve the equation Ux=yUx=y
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