## Math Problem Statement

A =

2 −8 0

# 3 −7 8 −1 4 2

1 0 0

3 2 1 0 − 1 2 0 1

2 −8 0

0 5 8 0 0 2 , b =

10

−1 −9 Solve the system Ax = b using the given LU factorization of A by first solving Ly = b for y

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

LU Factorization

Systems of Linear Equations

Forward and Backward Substitution

### Formulas

LU factorization: A = L * U

Forward substitution: L * y = b

Backward substitution: U * x = y

### Theorems

LU Factorization Theorem

### Suitable Grade Level

Undergraduate Level (Linear Algebra)