(adsbygoogle = window.adsbygoogle || []).push({}); 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

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# Composition of Linear Transformation and Matrix Multiplication2

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