(adsbygoogle = window.adsbygoogle || []).push({}); **theoretical linear algebra final in 14 hours***

I have some fundamental questions to ask.

1. a linear transformation is invertible iff A is invertible. IS THIS TRUE? (dumb question but my brain hurts and I just need confirmation)

2. if a linear transformation is invertible, then it's an isomorphism RIGHT?

3. what is the relation between the eigenspace and the kernel of any given square matrix?

P.S. I like it better if you answer like this:

1. YES

2. YES

3. well....

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# Theoretical linear algebra final in 14 hours

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