d. Find the transition matrix from C to B. e. Find the coordinates of u = (2, –2) 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 = (1, –2). [v]B =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the ordered basis B = ((1,4), (2,9)) and C = ((-1,2), (3,-3)) for the vector space R^2. 

d. Find the transition matrix from C to B.
TË
.
e. Find the coordinates of u = (2, –2) 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 = (1, –2).
[v]B
||
Transcribed Image Text:d. Find the transition matrix from C to B. TË . e. Find the coordinates of u = (2, –2) 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 = (1, –2). [v]B ||
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