(a) The matrix for a linear transformation relative tothe basis is equal to the product

Chapter 6, Problem 6.247

(choose chapter or problem)

(a) The matrix for a linear transformation relative tothe basis is equal to the product whereis the transition matrix from to is the matrixfor the linear transformation relative to basis andis the transition matrix from to(b) The standard basis for will always make thecoordinate matrix for the linear transformationthe simplest matrix possible.

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