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  • 16-02-2018
  • Mathematics
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Explain why the columns of an nxn matrix a are linearly independent when a is invertible

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X3N1A
X3N1A X3N1A
  • 16-02-2018
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.
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