Two system equation
Solve both systems simultaneously by applying Gauss-Jordan reduction to an appropriate 3 × 5 matrix(6) Consider the following two systems of equations.
x + y + z = 6
x + 2y + 2z = 11
2x + 3y − 4z = 3
(1)
and
x + y + z = 7
x + 2y + 2z = 10
2x + 3y − 4z = 3
(2)
Solve both systems simultaneously by applying Gauss-Jordan reduction to an appropriate 3 × 5 matrix.
(a) The resulting row echelon form of this 3 × 5 matrix is
.
(b) The resulting reduced row echelon form is
.
(c) The solution for (1) is ( , , ) and the solution for (2) is ( , , ) .
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