Let be any field. Let be the set of all matrices with entries from satisfying for each . How do I find a basis for and how do I find dim ? I really need help understanding how to find a basis and dim for any question like this.
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Originally Posted by funnyinga Let be any field. Let be the set of all matrices with entries from satisfying for each . How do I find a basis for and how do I find dim ? I really need help understanding how to find a basis and dim for any question like this. for any define to be the matrix with (i,j)-entry 1 and everywhere else 0. now put in to see that hence is a basis for and therefore
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