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)} ☐☐☐ ☐ ☐ ☐

Consider a linear transformation T from R2 to R² for which (:) -}- T and T Find the matrix A of T. A =

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'.

Help me please

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)}

Find an orthogonal diagonalization for A = [[1, 1,0], [1, 1, 1], [0, 1, 1]], i. e. find an orthogonal matrix U and a diagonal matrix D such that U^ (TT)AU = D. Any empty entries are assumed to be 0.

4) PLEASE ANSWER EACH QUESTION, THANKS.