== Consider the basis A = {u, u, u3} and B = {V1, V2, V3} for...

  

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== Consider the basis A = {u₁, u₂, u3} and B = {V1, V2, V3} for R3, where ag U1 1, U2 V₁ = V2= V3 = (a) Find the transition matrix A to B. (b) Compute the coordinate vector [w]B, where wa -B ai a2. -02 (c) Given that [n]A = -ag Find the vector n. [a,+1] [ a1 2, a2 = 1, a7 5, a8 = 2, a9=4-a2 =1, -a9=-4 == Consider the basis A = {u₁, u₂, u3} and B = {V1, V2, V3} for R3, where ag U1 1, U2 V₁ = V2= V3 = (a) Find the transition matrix A to B. (b) Compute the coordinate vector [w]B, where wa -B ai a2. -02 (c) Given that [n]A = -ag Find the vector n. [a,+1] [ a1 2, a2 = 1, a7 5, a8 = 2, a9=4-a2 =1, -a9=-4