Linear Algebra - True or False if $Ay = B$ and $Az=B$ then y = z? Why or why not? you may give a counter example to prove it false.
Linear Algebra - True or False if Ay = B and Az=B then y = z? Why or why not?
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linear-algebra
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0Presumably $B=b$. Would you please provide the full context of your question? E.g., could you say what $A$, $b$, $y$, and $z$ are? Hint: Consider the case where $b$ is the zero vector first. – 2010-12-18
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0It's false. Think of the simplest possible counterexample. – 2010-12-18
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5Thank you for giving me permission to do it with a counterexample, but I'll pass. Instead, I'll ask you this: Is there a unique solution to $2x+3y = 0$? – 2010-12-18