Question: Represent the identity transformation id : V V with respect to B, B for any basis B. This is the identity matrix I. Show

Represent the identity transformation id : V → V with respect to B, B for any basis B. This is the identity matrix I. Show that this matrix plays the role in matrix multiplication that the number 1 plays in real number multiplication: HI = IH = H (for all matrices H for which the product is defined).

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