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https://jjthetutor.com/in-fn-let-e_j-denote-the-vector-whose-jth-coordinate-is-1-and-whos-other-coodinates-are-0-prove-that-generates-fn/
In F^n let e_j denote the vector whose jth coordinate is 1 and whos other coodinates are 0 prove that generates F^n