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Given basis C, and the change of basis matrix P, determine the basis B. (Hint: what does each column of P represent?) C-B C-B -4 4 -1 -2 -4 -4 2 1 -2 Let C be a basis that contains vectors WEBO and P = C-B Then : -1 4 -4 -2 b₁ = b₂ = , b3 , b4 = 2 4 2 2 2 -2

Given basis C, and the change of basis matrix P, determine the basis B. (Hint: what does each column of P represent?) C-B C-B -4 4 -1 -2 -4 -4 2 1 -2 Let C be a basis that contains vectors WEBO and P = C-B Then : -1 4 -4 -2 b₁ = b₂ = , b3 , b4 = 2 4 2 2 2 -2

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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Given basis C, and the change of basis matrix P, determine the basis B. (Hint: what does each column of _P_ represent?) C-B C-B 4 -4 4 -1 -2 -4 -4 1 -2 2 4 1) Let C be a basis that contains vectors Then : and P = C-B -4 4 -4 2 2 -4 -2 -2 2 b₁ = b₂ = , b3 = , b4= -2 -2 4 -4 and P = 2) Let C be a basis that contains vectors 12 36² 3 24 4 and -2 -1 -2 4 1 C-B b₁ = = b₂ = b3 = b4 = 4 1 4 -1 -2 2 2 −1 2 -2 1 1 -2 2 -2 4 -4 -2 -2 1 2 2 . Then :
Transcribed Image Text:Given basis C, and the change of basis matrix P, determine the basis B. (Hint: what does each column of _P_ represent?) C-B C-B 4 -4 4 -1 -2 -4 -4 1 -2 2 4 1) Let C be a basis that contains vectors Then : and P = C-B -4 4 -4 2 2 -4 -2 -2 2 b₁ = b₂ = , b3 = , b4= -2 -2 4 -4 and P = 2) Let C be a basis that contains vectors 12 36² 3 24 4 and -2 -1 -2 4 1 C-B b₁ = = b₂ = b3 = b4 = 4 1 4 -1 -2 2 2 −1 2 -2 1 1 -2 2 -2 4 -4 -2 -2 1 2 2 . Then :
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