(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

IfAis a 4x2 matrix, explain why the rows ofAmust be linearly dependent.

2. Relevant equations

3. The attempt at a solution

I said that nullility(A)=n-rank(A). This tells you that nullility(A) could be equal to 0,1, or 2. Since there are 4 vectors, at least two of them have to be linearly dependent. Is this correct?

1. The problem statement, all variables and given/known data

IfAis a 4x2 matrix, what are the possible values of nullity(A)?

2. Relevant equations

3. The attempt at a solution

I said that the nullility(A) is 2-2 or 2-1 or 2-0, causing the answer to be 0, 1 or 2.

I just don't know if I thought about these correctly. Thanks in advance.

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# Homework Help: A Couple Linear Algebra Problems

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