If the matrix A can be expressed as , where L is a lower triangular matrix and U is an

Chapter 1, Problem 42

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If the matrix A can be expressed as , where L is a lower triangular matrix and U is an upper triangular matrix, then the linear system can be expressed as and can be solved in two steps: Step 1. Let , so that can be expressed as . Solve this system. Step 2. Solve the system for x. In each part, use this two-step method to solve the given system. (a) (b)

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