Answered: Consider the linear transformation T :…

Consider the linear transformation T : R 2 → R2 such that T(x, y) = (13x + 10y, 3y). a)Write the matrix of T with respect to the canonical basis. b)Calculate the eigenvalues of T. c)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 25EQ

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Question

Consider the linear transformation T : R² → R²such that
T(x, y) = (13x + 10y, 3y).
a)Write the matrix of T with respect to the canonical basis.
b)Calculate the eigenvalues of T.
c)

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