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((1,1), (0, 1)) and C = ((1, –2), (-4, –4)) for the vector space R?. = ((1,0), (0, 1)). Consider the ordered bases B = a. Find the transition matrix from C to the standard ordered basis E P = E-C b. Find the transition matrix from B to E. P = c. Find the transition matrix from E to B. B+E

((1,1), (0, 1)) and C = ((1, –2), (-4, –4)) for the vector space R?. = ((1,0), (0, 1)). Consider the ordered bases B = a. Find the transition matrix from C to the standard ordered basis E P = E-C b. Find the transition matrix from B to E. P = c. Find the transition matrix from E to B. B+E

Elementary Linear Algebra (MindTap Course List)
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
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R?. Consider the ordered bases B = ((1,1), (0,1)) and C = ((1, –2), (-4, –4)) for the vector space a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)). E-C b. Find the transition matrix from B to E. Р c. Find the transition matrix from E to B. P B+E d. Find the transition matrix from C to B. BEC e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B= [ 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 =
Transcribed Image Text:R?. Consider the ordered bases B = ((1,1), (0,1)) and C = ((1, –2), (-4, –4)) for the vector space a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)). E-C b. Find the transition matrix from B to E. Р c. Find the transition matrix from E to B. P B+E d. Find the transition matrix from C to B. BEC e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B= [ 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 =
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