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Solve the following systems of equation using operations on the augmented matrix x-3y+2z=12 2x-5y+5z=14 -x+2y-3z=-20?

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asked May 3, 2014 in ALGEBRA 1 by anonymous

1 Answer

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Given equations are - 3 +2z  = 12 ---> (1)

2x -5y + 5z  = 14 ---> (2)

- + 2 - 3= -20 ---> (3)

Write the equations into matrix form AX  = D.

A  is Coefficient matrix , X  is Variable matrix and D  is constant matrix.

Now we solve the equations in Gauss-Jordan method.

image

The augmented matrix is [AD ]

image

image  are represents first row ,second row and third row .

image

image

image

image

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The system is inconsistent .

A row reduced matrix has row of zeros on the left side, but the right hand side isn't zero .

There is no solution.

answered May 3, 2014 by david Expert

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