Let be a linear transformation. Prove that Is this done by using that fact that since
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Originally Posted by dwsmith Let be a linear transformation. Prove that Is this done by using that fact that since Note that if then and so . Thus, .
Originally Posted by Drexel28 Note that if then and so . Thus, . Can you explain the top line in more detail? Why can say ? Go from looking at rank and then say it is less than the dim and back to rank?
Originally Posted by dwsmith Can you explain the top line in more detail? Why can say ? Go from looking at rank and then say it is less than the dim and back to rank? Does it make more sense to recall that ?
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