B = {(25, 2),(3, -19)} and C = {(1, 6),(-6, 1)} are two bases of R2. PCB is the

Question

B = {(25, 2),(3, -19)} and C = {(1, 6),(-6, 1)} are two bases of R2. PCB is the matrix that takes a v, expressed in the basis B, that is [v]B, to the same expressed in basis C, that is [v]C. To find PCB express each in B as a linear combination of the s in C. PBC is the inverse of PCB. What is the change of basis matrix PCB? Answer is a Matrix If [v]B = (-2, 3), then what is [v]C? Answer is a What is the change of basis matrix PBC? Answer is a Matrix If [w]C = (2, -2), then what is [w]B? Answer is a

Explanation / Answer

Easy solution to your problem is presented at the link given under:

http://ltcconline.net/greenl/courses/203/Vectors/changeOfBasis.htm

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