2x2real valued matrices), and letАbe any element ofelement of M222,2.Consider M 2,2 (the vector space ofA E M22:The following transformation can be applied to[1 9 6 5M :05-1 2T(A) = MA²where(a) State the domain and codomain of the transformation.(b) Determine whether or not the transformation is linear. If linear, write the proof. If non-linear,provide a counterexample.

Answered: Image /qna-images/answer/fa1a8385-22e7-4d77-9236-ab13b105704a.jpg

Consider M 2,2 (the vector space of 2x2 real valued matrices), and let be any element of M2,2. A E M22: The following transformation can be applied to [1 9 6 5 М- 05 -1 2 T(A) = MA² where (a) State the domain and codomain of the transformation. (b) Determine whether or not the transformation is linear. If linear, write the proof. If non-linear, provide a counterexample.

Consider M 2,2 (the vector space of 2x2 real valued matrices), and let be any element of M2,2. A E M22: The following transformation can be applied to [1 9 6 5 М- 05 -1 2 T(A) = MA² where (a) State the domain and codomain of the transformation. (b) Determine whether or not the transformation is linear. If linear, write the proof. If non-linear, provide a counterexample.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 29CM

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