1. Find the vector that reaches the point Q from the origin in the notation of each basis, that is, find [7], [TB, and []c. 2. Convert to B-coordinates and also to C-coordinates.
1. Find the vector that reaches the point Q from the origin in the notation of each basis, that is, find [7], [TB, and []c. 2. Convert to B-coordinates and also to C-coordinates.
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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Hello there, can you help me solve a problem with three subparts? Thank you!
![We are working in R². Let Ɛ be the standard basis, B be the basis formed by {(2, 1), (0,−1)}, and C the basis
formed by {(1, 1), (−1, 1)}. These vectors and their spans can be visualized below in 'graph paper' form:
1. Find the vector that reaches the point Q from the origin in the notation of each basis, that is, find [7],
[B, and [x]c.
2. Convert
Bi
2
to B-coordinates and also to C-coordinates.
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2F779be3ac-1d4d-4783-b7b9-6a1987ceb30b%2Fobjcqho_processed.png&w=3840&q=75)
Transcribed Image Text:We are working in R². Let Ɛ be the standard basis, B be the basis formed by {(2, 1), (0,−1)}, and C the basis
formed by {(1, 1), (−1, 1)}. These vectors and their spans can be visualized below in 'graph paper' form:
1. Find the vector that reaches the point Q from the origin in the notation of each basis, that is, find [7],
[B, and [x]c.
2. Convert
Bi
2
to B-coordinates and also to C-coordinates.
E
Transcribed Image Text:7. Check your work by converting your answers from #1 and #2 to each other.
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