SOLUTION: what is the value of determinent if entries in any two rows of the determinent are crrespondingly proportional

Question 570033: what is the value of determinent if entries in any two rows of the determinent are crrespondingly proportional
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the value of determinent if entries in any two rows of the determinent are crrespondingly proportional
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That condition implies two equations are actually the same.
So there is an infinite set of solutions.
So, for example, Dx/D = Dx/0
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So the coefficient determinant is zero.
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Another way to look at it:
Using row operations you can create a row with all elements = 0.
Therefore the determinant will be zero.
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Cheers,
Stan H.
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