Consider the ordered bases B = ((1,4), (2, 9)) and C = ((-1,2), (3, -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 TB

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 18CM
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Consider the ordered bases B =
=
((1,4), (2, 9)) and C = ((-1, 2), (3, -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.
BE
=
←
A
B
▶
ID
▲
←
-
I-
▶
FI
Transcribed Image Text:Consider the ordered bases B = = ((1,4), (2, 9)) and C = ((-1, 2), (3, -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. BE = ← A B ▶ ID ▲ ← - I- ▶ FI
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