Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (–4, 3)) for the vector spaceR?.a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)).TE =b. Find the transition matrix from B to E.T =c. Find the transition matrix from E to B.TE =d. Find the transition matrix from C to B.TË =e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B= T[u]E[u]B=f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C= (-2, 1).[v]B=

Note: According to our guidelines we can answer only first three subparts

Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R². a. Find the transition matrix from C to the standard ordered basis E = ((1, 0), (0, 1)). TE= b. Find the transition matrix from B to E. TE= c. Find the transition matrix from E to B. TB = d. Find the transition matrix from C to B. TB = e. Find the coordinates of u = (-2,-1) in the ordered basis B. Note that [u] B = Tu]E [u]B= f. Find the coordinates of u in the ordered basis B if the coordinate vector of u in C is [v]c = (-2, 1). [U]B=

Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R². a. Find the transition matrix from C to the standard ordered basis E = ((1, 0), (0, 1)). TE= b. Find the transition matrix from B to E. TE= c. Find the transition matrix from E to B. TB = d. Find the transition matrix from C to B. TB = e. Find the coordinates of u = (-2,-1) in the ordered basis B. Note that [u] B = Tu]E [u]B= f. Find the coordinates of u in the ordered basis B if the coordinate vector of u in C is [v]c = (-2, 1). [U]B=

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 15E

See similar textbooks