Math Problem Statement

Solve the system of equations using matrices. Use the Gaussian elimination method with​ back-substitution. left brace Start 3 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing 3rd Row 1st Column nothing EndMatrix

w minus x minus y minus z equals 8 4 w minus 3 x minus y plus z equals 7 3 w plus x minus 3 y minus z equals 26 negative w plus 3 x plus 2 y plus 3 z equals negative 13 Question content area bottom Part 1 The solution set is StartSet left parenthesis nothing comma nothing comma nothing comma nothing right parenthesis EndSet             . ​(Simplify your​ answers.)

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Systems of Equations
Gaussian Elimination
Back-Substitution

Formulas

Row operations for Gaussian elimination
Back-substitution for solving upper triangular matrices

Theorems

Gaussian elimination

Suitable Grade Level

Grades 10-12