· Let B = {b¡, b2, b3} be a basis for a vector space V. Find T (3b¡ – 4b2) when T is a linear transformation from V to V whose matrix relative to B is 0 -6 5 -1 1 [T]B = 1 -2 7

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A: Given linear transformation is

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A: a = 10 b = 2  The detailed solution is as follows below:

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A: let B={b1,b2} be basis for vector space.

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A: Change-of-coordinates matrix from F to D is,