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Consider the set of all linear transformations from $V$ to $W$ to be a vector space over $F$. What is the dimension of vector space? Demonstrate an explicit basis. You may use usual matrix arithmetic without proof.

I've been working on this question for a while and have made no progress. How should I proceed? Thanks for all of your help.

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    Linear transformations of what?2012-10-29
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    @Neal Sorry about that. I edited the question.2012-10-29
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    What do you know about the representation of linear maps as matrices?2012-10-29
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    @wj32 Not much at all to be honest.2012-10-29
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    What do you get if multiply a matrix $A$ by $(1,0,0,..)^T$ from the right?2012-10-29
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    @Berci What does the T signify in your question?2012-10-29
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    @JuanGomez: $T$ means transpose. Also, take a look at this: http://www.math.dartmouth.edu/archive/m24w07/public_html/Lecture12.pdf2012-10-29

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