Is a Non-Square Matrix Always Linearly Dependent?

Thread starter eyehategod
Start date Oct 19, 2007
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Algebra Linear Linear algebra Proof

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eyehategod

Thread starter
Oct 19, 2007

Prove that if A is not square, then either the row vectors of A or column vectors of A form a linearly dependent set.

can anyone help me out with this proof? I have no idead how to start.

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EnumaElish

Science Advisor

Oct 19, 2007

What is your definition of linearly dependent?

Dick

Science Advisor

Homework Helper

Oct 19, 2007

If you have a set of n vectors with m components and n>m, can they be linearly independent?

Is a Non-Square Matrix Always Linearly Dependent?

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Is a Non-Square Matrix Always Linearly Dependent?

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