In Exercises 1-10, assume that T is a linear transformation. Find the standard matrix of T. 1. T: R² →→ R¹, T(e₁) = (2, 1, 2, 1) and T(e₂) (-5, 2, 0, 0), where e₁ = = (1, 0) and e2 = (0, 1).
In Exercises 1-10, assume that T is a linear transformation. Find the standard matrix of T. 1. T: R² →→ R¹, T(e₁) = (2, 1, 2, 1) and T(e₂) (-5, 2, 0, 0), where e₁ = = (1, 0) and e2 = (0, 1).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 12EQ
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![In Exercises 1-10, assume that T is a linear transformation. Find the standard
matrix of T.
1. T: R² →→ R¹, T(e₁) = (2, 1, 2, 1) and
T(e₂)
(-5, 2, 0, 0), where e₁
=
=
(1, 0) and e2 = (0, 1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3dbb91f-777d-47b2-aa94-40b3e17142a5%2F7a79c93a-61b0-428f-bab8-a606fc867c27%2F37n659p_processed.png&w=3840&q=75)
Transcribed Image Text:In Exercises 1-10, assume that T is a linear transformation. Find the standard
matrix of T.
1. T: R² →→ R¹, T(e₁) = (2, 1, 2, 1) and
T(e₂)
(-5, 2, 0, 0), where e₁
=
=
(1, 0) and e2 = (0, 1).
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