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Question 4 (20 marks) a. Given the basis of R3: B ={(1}2,1),(3,2,2)1(01111 i. Find the vector in R3 whose coordinate vector with respect to basis
Question 4 (20 marks) a. Given the basis of R3: B ={(1}2,1),(3,2,2)1(01111\" i. Find the vector in R3 whose coordinate vector with respect to basis B is (1, 2, 3). (2 marks) ii. What is the transition matrix that will change bases from B to the standard basis of R3? (2 marks) iii. What is the transitiOn matrix that will change bases from the standard basis of R3 to B. (4 marks) iv. Use the transit'mn matrix to verify your answer for part i. of this question. (2 marks)
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