### Question Description

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. x + 3y = 0, x + y + z = 1, 3x - y - z = 11

A. {(3, -1, -1)}

B. {(2, -3, -1)}

C. {(2, -2, -4)}

D. {(2, 0, -1)}

## Explanation & Answer

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After reducing the matrix, you get the following matrix:

1 0 0 3

0 1 0 -1

0 0 1 -1

which means correct answer is A.

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