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Write the system of equations that that corresponds to the augmented matrix.

2-20-102-1230-1-2

Short Answer

Expert verified

2x-2y=02y-z=23x-z=-2

Step by step solution

01

Step 1. Given Information

A matrix is given as-

2-20-102-1230-1-2

02

Step 2. Calculating equations

Each row of the matrix represents an equation in three variables as x,y&z.

The matrix given is a 3×4matrix.

Assume first column as coefficients of variable x, similarly second for yand third for z.

Therefore the required system of equations is-

2x-2y=02y-z=23x-z=-2

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