Determine whether the system of linear equations is inconsistent or dependent.

Algebra
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Determine whether the system of linear equations is inconsistent or dependent.

 
x + y + z = −1
y − 3z = 10
2x + y + 5z = −13
Apr 21st, 2015

Use Gaussian elimination. You' ll end up with something like:

1 1  1   1
0 1 -3 10
0 0  0   1

The last row implies that 0*z = 1. Impossible. Inconsistent.

Apr 22nd, 2015

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Apr 21st, 2015
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Apr 21st, 2015
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