Let B b 1 , ,b n be a basis for a vector space V Explain why the B coordinate vectors of b 1 , ,b n are the columns e 1 , ,e n of the n x n identity matrix

Question: Let B = {b 1 ,...,b n } be a basis for a vector space V. Explain why the B-coordinate vectors of b 1 ,...,b

Let B = {b₁,...,b_n} be a basis for a vector space V. Explain why the B-coordinate vectors of b₁,...,b_n are the columns e₁,...,e_n of the n x n identity matrix.

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