Explain why the columns of an nxn matrix a are linearly independent when a is invertible

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asked Nov 4, 2019 194k views

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Explain why the columns of an nxn matrix a are linearly independent when a is invertible

Mathematics
high-school

EricWF asked

by EricWF

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Suppose A is invertible. Therefore the equation Ax=0 has only one solution, the zero solution. This means that the columns of A are linearly independent.

Jcjr answered Nov 8, 2019

by Jcjr

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