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sider the ordered bases B= ((4, –9), (–3,7)) and C = ((4,3), (–2,4)) for the vector space R’ %3D

sider the ordered bases B= ((4, –9), (–3,7)) and C = ((4,3), (–2,4)) for the vector space R’ %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the ordered bases B = ((4, –9), (–3,7)) and C = ((4, 3), (-2, 4)) for the vector space R?.
Transcribed Image Text:Consider the ordered bases B = ((4, –9), (–3,7)) and C = ((4, 3), (-2, 4)) for the vector space R?.
e. Find the coordinates of u = (-3, –3) in the ordered basis B. Note that [u]B = [ u]E. B-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:e. Find the coordinates of u = (-3, –3) in the ordered basis B. Note that [u]B = [ u]E. B-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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