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Prove: In homogenous linear equation in n variables, it must have a nontrivial solution if m<n. Prove: A System of linear equation has 0, 1 or...

Prove: In homogenous linear equation in n variables, it must have a nontrivial solution if m<n.


Prove: A System of linear equation has 0, 1 or infinity many solution.


Prove: A is invertible if there is B such that AB=I=BA.

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