Find the coordinate matrix of x in R" relative to the basis B'. B' = {(4, 3, 3), (-11, 0, 11), (0, 9, 2)}, x = (26, 3, -19)
Find the coordinate matrix of x in R" relative to the basis B'. B' = {(4, 3, 3), (-11, 0, 11), (0, 9, 2)}, x = (26, 3, -19)
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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Question
![Find the coordinate matrix of x in R" relative to the basis B'.
B' = {(4, 3, 3), (-11, 0, 11), (0, 9, 2)}, x = (26, 3, –19)
%3D
[x]g =
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Transcribed Image Text:Find the coordinate matrix of x in R" relative to the basis B'.
B' = {(4, 3, 3), (-11, 0, 11), (0, 9, 2)}, x = (26, 3, –19)
%3D
[x]g =
%3!
Expert Solution

Step 1
The given vector space is with basis .
Consider the vector .
We have to find the coordinate matrix of relative to the basis .
Suppose that the coordinate matrix of relative to the basis be .
Then, we must have .
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Solved in 2 steps

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