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The change of coordinates matrix from basis B to basis C of R³ is given by P C-B The coordinates of v € R³ relative to the basis B are given by [v] B relative to the basis C. [v]c = Ex: 5 0₁ 1 3 = -5 -8 2 9 0 1 -4 4 .Find [v]c, the coordinates of v

The change of coordinates matrix from basis B to basis C of R³ is given by P C-B The coordinates of v € R³ relative to the basis B are given by [v] B relative to the basis C. [v]c = Ex: 5 0₁ 1 3 = -5 -8 2 9 0 1 -4 4 .Find [v]c, the coordinates of v

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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The change of coordinates matrix from basis B to basis C of R³ is given by P = C-B The coordinates of v E R³ relative to the basis B are given by [v] = relative to the basis C. Ex: 5 19 [v]c = = -5 -8 2 9 0 1 -6 -4 4 6 8 1.Find [v]c, the coordinates of v 3
Transcribed Image Text:The change of coordinates matrix from basis B to basis C of R³ is given by P = C-B The coordinates of v E R³ relative to the basis B are given by [v] = relative to the basis C. Ex: 5 19 [v]c = = -5 -8 2 9 0 1 -6 -4 4 6 8 1.Find [v]c, the coordinates of v 3
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