Math Problem Statement

Use the​ Gauss-Jordan elimination method to find all solutions of the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Column EndMatrix

4 x minus 4 y equals 4 negative 12 x plus 12 y equals negative 12 Question content area bottom Part 1 Write the augmented matrix corresponding to the system. Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice. A.left bracket Start 3 By 2 Table 1st Row 1st Column 4 2nd Column nothing 2nd Row 1st Column negative 4 2nd Column nothing 3rd Row 1st Column 4 2nd Column nothing EndTable right bracket left bracket Start 3 By 2 Table 1st Row 1st Column 4 2nd Column nothing 2nd Row 1st Column negative 4 2nd Column nothing 3rd Row 1st Column 4 2nd Column nothing EndTable right bracket         

B.left bracket Start 2 By 4 Table 1st Row 1st Column 4 2nd Column negative 4 3rd Column 4 4st Column 1 2nd Row 1st Column nothing 2nd Column nothing 3rd Column nothing 4st Column nothing EndTable right bracket left bracket Start 2 By 4 Table 1st Row 1st Column 4 2nd Column negative 4 3rd Column 4 4st Column 1 2nd Row 1st Column nothing 2nd Column nothing 3rd Column nothing 4st Column nothing EndTable right bracket            

C.left bracket Start 2 By 3 Table 1st Row 1st Column 4 2nd Column negative 4 3rd Column 4 2nd Row 1st Column nothing 2nd Column nothing 3rd Column nothing EndTable right bracket left bracket Start 2 By 3 Table 1st Row 1st Column 4 2nd Column negative 4 3rd Column 4 2nd Row 1st Column nothing 2nd Column nothing 3rd Column nothing EndTable right bracket

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Systems of Linear Equations
Matrix Operations

Formulas

Augmented matrix form
Gauss-Jordan elimination method

Theorems

Gauss-Jordan elimination theorem

Suitable Grade Level

Grades 10-12