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and solve for using forward substitution with the

And solve for using forward substitution with the equation

To solve the equation Ax=b using LU decomposition, we need to perform the following steps:

Perform LU decomposition of matrix A:

Solve Ux = y for x using back substitution:

Substitute y (from step 2) into Ux = y, and solve for x using back substitution with the equation:

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