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# Use elementary row operations

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Solve the following systems. Use elementary row operations to reduce the augmented matrix of the system to our upper diagonal matrix.

a) [x+y+z=2]
[2x-y-z=1]
[3x+2y+z=3]

b) [x+y+z=2]
[2x-y-z=1]
[4x+y+z=3]

https://brainmass.com/math/matrices/use-elementary-row-operations-350009

#### Solution Preview

We start with multiplying the first row by 2, subtract it from the second row and place the result in the second row:

Then, we multiply the first row by 3, subtract it from the third row and place the result in the third row:

We multiply the second row by 1/3, subtract it from the ...

#### Solution Summary

The use of elementary row operations to reduce the augmented matrix of the system to our upper diagonal matrix is fully summarized in this solution.

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