Consider the bases B = {u₁, u2} and B' = {v1, v2} for R², where 21= 8 U2 = V₁ = v₂ = 6 8 Find the transition matrix from B' to B. The transition matrix from B' to B is P = (H)

Let B = {(1, 3), (-2,-2)) and B' = {(-12, 0), (-4, 4)) be bases for R2, and let A = 02 be the matrix for T: R² R2 relative to B. (a) Find the transition matrix P from B' to B. P= (b) Use the matrices P and A to find [v]g and [7(V)]B, where [v] = [-14]. [v]8 = [T(v)]8 = (c) Find P¹ and A' (the matrix for 7 relative to B'). p-1 = A¹ = 1 1 ↓↑ (d) Find [T(v)] two ways.

Find the transition matrix from B to B'. B = {(-1, 0, 0), (0, 1, 0), (0, 0, −1)}, B' = {(0, 0, 7), (1, 3, 0), (9, 0, 7)} ☐☐☐ ☐ ☐ ☐

Let B = {-3,2), (4, -2)} and B' = {(-1,2), (2,-2)} a. Find the transition matrix from B to B'. b. Find the coordinate matrix [x]B given that [x]B -G]-

5. Let B = {(1,0), (0,1)} and B' = {(2, 2), (1,4)} be ordered bases for R² and let v = (−3, 10). a.) Find [v]B, the coordinate vector of v relative to B. b.) Find PB→B', the transition matrix from B to B'.

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Practice Another Find the transition matrix from B to B'. B = {(-1, 0, 0), (0, 1, 0), (0, 0, -1)}, B' = {(0, 0, 9), (1, 3, 0), (8, 0, 9)}

4) PLEASE ANSWER EACH QUESTION, THANKS.

Let 8 = {(1, 3), (-2,-2)} and 8' = {(-12, 0), (-4, 4)) be bases for R², and let A = - [83] be the matrix for 7: R² R² relative to 8. (a) Find the transition matrix P from 8' to 8. 6 4 P= 9 4 (b) Use the matrices P and A to find [v] and [7(v)]g, where [v]= [4 -1]. [v]g= Q [7(v)]a = (c) Find A-1 and A' (the matrix for 7 relative to 8'), p-1= - A'= (d) Find [7(v)]g two ways. [7(v)]g = P¹[7(v)]g = [7(v)]g¹ = A'[v]g' =

Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R2, and let 3 2 40 be the matrix for T: R2 R2 relative to B. 56°F A = (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v] and [T(v)]B, where [v]B = [-5 4]T. [V] B [T(v)]B = (c) Find P-1 and A' (the matrix for T relative to B'). p-1 = 4