MathAlgebraLinear algebraMatrix decomposition

LU Decomposition

Step-by-step matrix U

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Sort the given steps below to create a step-by-step plan for calculating the upper triangle matrix $U$ of a matrix $A$ .

Put the items in the correct order

Complete the Gaussian elimination process to receive the upper triangle matrix

U

Use row operations to eliminate entries below the main diagonal.

Instantiate

U

as a copy of

A

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