Question

An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.

1 1 4 2

0 3 1 7
0 −2 4 0

Answer 1

(x, y, z) = (-4, 2, 1)

Explanation:

See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.

The [x, y, z] result vector is the column on the right.

(x, y, z) = (-4, 2, 1)

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Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.