e. Find the coordinates of u = (-3, -3) in the ordered basis B. Note that [u]B = [ u]E. %3D [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 bases B = ((5,4), (6,5)) and C = ((-2,0), (0, –4)) for the vector space R?.
û.mu ine transitionmat
Otothe standard ordered basis E = ((1,0), (0,1)).
-4
tviv from Dio D
E
P
В
-4
24
-20
e. Find the coordinates of u = (-3, –3) 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 = (1,2).
[v]B =
LO
Transcribed Image Text:Consider the ordered bases B = ((5,4), (6,5)) and C = ((-2,0), (0, –4)) for the vector space R?. û.mu ine transitionmat Otothe standard ordered basis E = ((1,0), (0,1)). -4 tviv from Dio D E P В -4 24 -20 e. Find the coordinates of u = (-3, –3) 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 = (1,2). [v]B = LO
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