Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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part d, e, f please 

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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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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