Consider the following two ordered bases of R2: {(-1,1), (–3, 2)}, c = {{-1,2), (-1,3)}. B a. Find the change of basis matrix from the basis B to the basis C. [id = %3D b. Find the change of basis matrix from the basis C to the basis B. [id =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Chapter 3.4 Question 7

Consider the following two ordered bases of R2:
{{-1,1), (–3, 2)},
с %3D {{-1,2), (-1,3}}.
B
a. Find the change of basis matrix from the basis B to the basis C.
[id =
%3D
b. Find the change of basis matrix from the basis C to the basis B.
[id] =
Transcribed Image Text:Consider the following two ordered bases of R2: {{-1,1), (–3, 2)}, с %3D {{-1,2), (-1,3}}. B a. Find the change of basis matrix from the basis B to the basis C. [id = %3D b. Find the change of basis matrix from the basis C to the basis B. [id] =
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