- #1

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Can you show me the steps of solving this problem?

Please!

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- Thread starter hkus10
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- #1

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Can you show me the steps of solving this problem?

Please!

- #2

Mark44

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Show us what you've tried. The rules of this forum say that we aren't supposed to provide any help if you haven't given the problem a try.

Can you show me the steps of solving this problem?

Please!

- #3

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Show us what you've tried. The rules of this forum say that we aren't supposed to provide any help if you haven't given the problem a try.

Actually, I am stuck how to begin this question. However, I still have some ideas for how to start. I just want to make sure this is the right approach before solving this kind of proof problem. Is it related to the Matrix-Vector Product ?

- #4

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First, write down what it means for A to be the zero matrix. This will tell you what it is you need to prove. Next, the condition Ax = 0 holds for all n x 1 matrices (or vectors) x, so try to cleverly choose a vector that makes the product Ax nice to work with.

I'm being pretty vague, but I'll be happy to elaborate once you show us your attempt.

- #5

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Is it I have to converse of the implication first?

- #6

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Try this: how would you prove that the entry [itex]A_{1,1}=0[/itex]? If you can do this, you should be able to generalize your method.

- #7

HallsofIvy

Science Advisor

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Suppose some entry in A, say A_{ij} is NOT 0. Can you **construct** a vector v, such that Av is not 0?

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