Let A be an n x n diagonalizable matrix. Suppose T : R" → R" is transformation with the standard matrix A. a linear Then there exists a basis B of R" such that [T] = = In. True False

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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Let A be an n x n diagonalizable matrix. Suppose T : R" → R" is
a linear transformation with the standard matrix A.
Then there exists a basis B of R" such that [T]® = In.
True
False
Transcribed Image Text:Let A be an n x n diagonalizable matrix. Suppose T : R" → R" is a linear transformation with the standard matrix A. Then there exists a basis B of R" such that [T]® = In. True False
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