Question: Let B = {b 1 , b 2 } and C = {c 1 , c 2 } be bases for a vector space V,

Let B = {b1, b2} and C = {c1, c2} be bases for a vector space V, and suppose b1 = - c1 +4c2 and b2 = 5c1 - 3c2. 

a. Find the change-of-coordinates matrix from B to C.   

b. Find [x]C for x = 5b1 + 3b2.

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