Need help with this question. Please explain each step. Thank you :) 9. Consider the functions T₁ : M22 → R² and T₂ : R² → M22 satisfying( [od]) = (a, d),T₁T₂(1,0) = [](a) Show that T₁ is a linear transformation.(b) The function T₂ is a linear transformation. Find T₂(a, b).(c) Are T₁ T₂ and T₂ o T₁ linear?(d) Find T₁ T₂(a, b) and T₂0 T₁O([d])."T₂(0, 1) ==[1

Answered: Image /qna-images/answer/70d55cf8-96a4-42e6-afd4-e509ecf1436b.jpg

Consider the functions T₁ : M₂2 → R² and T₂ : R² → M22 satisfying T₁ ([a b]) = (a, d), T₂(1,0) = [!!] 00 (a) Show that T₁ is a linear transformation. (b) The function T₂ is a linear transformation. Find T₂(a, b). (c) Are T₁ T₂ and T₂ o T₁ linear? / 17) T₂(0, 1) = [ii]

Consider the functions T₁ : M₂2 → R² and T₂ : R² → M22 satisfying T₁ ([a b]) = (a, d), T₂(1,0) = [!!] 00 (a) Show that T₁ is a linear transformation. (b) The function T₂ is a linear transformation. Find T₂(a, b). (c) Are T₁ T₂ and T₂ o T₁ linear? / 17) T₂(0, 1) = [ii]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 46E: For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T...

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