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**change of basis [**

**x**]_{B}+ [**y**]_{B}= [**x+y**]_{B[}_{ Homework Statement Let B = {v1,.......vn} be a basis for a vector space V, and let x = a1v1 + ...... anvn and y = b1v1 + .......+ bnvn be arbitrary vectors in V. Find [x]B, [y]B and [x+y]B Homework Equations [x]B + [y]B = [x+y]B The Attempt at a Solution No clue}