****PLEASE ANSWER ONLY IF YOU WILL FINISH ALL 2 PROBLEMS, OTHERWISE DO NOT ANSWER IF YOU WILL ONLY ANSWER 1 PROBLEM, LEA
Posted: Mon Jul 11, 2022 11:15 am
****PLEASE ANSWER ONLY IF YOU WILL FINISH ALL 2 PROBLEMS, OTHERWISE DO NOT ANSWER IF YOU WILL ONLY ANSWER 1 PROBLEM, LEAVE IT FOR SOMEONE ELSE WHO CAN FINISH IT***
1. Consider the bases B = {u₁, u₂} and B' = {u', u'} for R², where u₁ · -}]}· ·-[-1 «-}]} 4-C a. Find the transition matrix from B' to B. b. Find the transition matrix from B to B'. c. Compute the coordinate vector [w]B, where W = and use (11) to compute [w]B¹. d. Check your work by computing [w]B, directly.
3. Consider the bases B = {u₁, U₂, U3} and B' = {u', u', u'} for R³, where --0--|-·--0 = = u = 3 -|· u₂: 2 -B W = 8 u₂ = a. Find the transition matrix from B to B'. b. Compute the coordinate vector [w], where and use (11) to compute [w]B¹. c. Check your work by computing [w]B' directly.
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3. Consider the bases B = {u₁, U₂, U3} and B' = {u', u', u'} for R³, where --0--|-·--0 = = u = 3 -|· u₂: 2 -B W = 8 u₂ = a. Find the transition matrix from B to B'. b. Compute the coordinate vector [w], where and use (11) to compute [w]B¹. c. Check your work by computing [w]B' directly.