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**Theorem 2.12**: Let A be an mxn matrix, B and C be nxp matrices, and D and E b qxm matrices. Then

(d.) If V is an n-dimensional vector space with an ordered basis B, then [I

_{V}]

_{B}= I

_{n}.

My question: What does [I

_{V}]

_{B}mean? Is this the identity matrix with respect to the vector space V which is with respect to the basis B-I'm not sure what that means. Could someone explain this in as much detail possible.

Thanks,

JL