Let T be a linear transformation between n-dimensional vector spaces V and W, where a = (a₁, a2, ..., an) is a basis for V and ß = {b₁,b2, ..., bn) is a basis for W. The process for finding the matrix representation of the linear transformation [T] and the change of basis matrix [1] are quite similar. What has to be true of transformation T, for [T] = [1]?
Let T be a linear transformation between n-dimensional vector spaces V and W, where a = (a₁, a2, ..., an) is a basis for V and ß = {b₁,b2, ..., bn) is a basis for W. The process for finding the matrix representation of the linear transformation [T] and the change of basis matrix [1] are quite similar. What has to be true of transformation T, for [T] = [1]?
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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Let T be a linear transformation between n-dimensional vector spaces V and W, where a = {a₁, a2, an} is a basis for V and B = {b₁,b2, ..., bn} is a basis
for W. The process for finding the matrix representation of the linear transformation [T] and the change of basis matrix [1] are quite similar. What
has to be true of transformation T, for [T] = [[]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a6878de-8200-48ed-837b-864fc15b0c65%2F11aff55d-c8c5-4101-a475-38065f9673b4%2Fu2ihhnq_processed.jpeg&w=3840&q=75)
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Let T be a linear transformation between n-dimensional vector spaces V and W, where a = {a₁, a2, an} is a basis for V and B = {b₁,b2, ..., bn} is a basis
for W. The process for finding the matrix representation of the linear transformation [T] and the change of basis matrix [1] are quite similar. What
has to be true of transformation T, for [T] = [[]?
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