Let A be a nxn matrix corresponding to a linear transformation.(adsbygoogle = window.adsbygoogle || []).push({});

Is it true that A is invertible iff A is onto? (ie, the image of A is the entire codomain of the transformation)

In other words, is it sufficient to show that A is onto so as to show that A is invertible?

That was what my professor said but I am having trouble understanding this..could someone please prove this or direct me to a proof?

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# Matrix corresponding to linear transformation is invertible iff it is onto?

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