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Solve the following using Gauss-Jordan elimination: x +y + z = 6, 6x +5y + 2z...

Solve the following using Gauss-Jordan elimination: x +y + z = 6, 6x +5y + 2z = 31, 4x + y -8z = 9

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Answer #1

The augmented matrix for the above system of equations is

Convert the above matrix into reduced row echelon form

The above is a reduced row echelon form. From above, x and y are Pivot Variables and z is a free variable implies x and y can be expressed in terms of z

Therefore, the solution is

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