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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]

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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.

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 ...

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