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5. Let B {(1,0). (0,1)) and B'-((-3,5). (4,1)) be ordered bases for R2 and let v = - Find [v]g, the coordinate vector of v relative to B. Is Find PB-B', the transition matrix from B to B'. - (2.-7). s) Find the coordinate vector of u relative to B' using your results from parts a and b.

5. Let B {(1,0). (0,1)) and B'-((-3,5). (4,1)) be ordered bases for R2 and let v = - Find [v]g, the coordinate vector of v relative to B. Is Find PB-B', the transition matrix from B to B'. - (2.-7). s) Find the coordinate vector of u relative to B' using your results from parts a and b.

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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5. Let B – ((1,0), (0,1)) and B′ − ((−3,5), (4, 1)) be ordered bases for R² and let v − (2,−7). Find [v]g, the coordinate vector of v relative to B. ts) Find Pg-g', the transition matrix from B to B'. Hs) Find [r], the coordinate vector of v relative to B′ using your results from parts à and b.
Transcribed Image Text:5. Let B – ((1,0), (0,1)) and B′ − ((−3,5), (4, 1)) be ordered bases for R² and let v − (2,−7). Find [v]g, the coordinate vector of v relative to B. ts) Find Pg-g', the transition matrix from B to B'. Hs) Find [r], the coordinate vector of v relative to B′ using your results from parts à and b.
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