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Gauss Reduction

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Use gauss reduction for a matrix with the equations:

x + y + z = 7

2x + y = 6

x + 2z + 5
asked Oct 27, 2014 in ALGEBRA 1 by zoe Apprentice

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Best answer

The equations are x + y + z = 7

2x + y = 6

x + 2z = 5

Write the equations into matrices form AX = B

A is coefficient matrix,X is variable matrix and B is constant matrix.

image

The augmented matrix is

image

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

 

image

image

image

image

image

image

image

Solution x = 1, y = 4, z = 2.

answered Oct 27, 2014 by david Expert
selected Oct 28, 2014 by zoe

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