V1 V2 V3 B = {(}. §, 0). (–3. 3, 0), (0, 0, 1)} 5 י5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Find the coordinate matrix of w = (5, −5, 2) relative to the orthonormal basis B for R3 below.
![V1
V2
V3
B = {(}. §, 0). (–3. 3,
0), (0, 0, 1)}
5 י5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F303218e2-3142-4542-b7d1-6fdc4fa05165%2F2699ea28-e848-476f-a4a7-477235ae3361%2Fqp8apwf.png&w=3840&q=75)
Transcribed Image Text:V1
V2
V3
B = {(}. §, 0). (–3. 3,
0), (0, 0, 1)}
5 י5
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Basis: A set of vectors S is said to be a basis of the vector space V if the set S is linearly independent and
it spans the vector space V.
We have to write coordinate matrix of the vector w with the respect to the basis B having three vectors
namely, and .
Step by step
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