4. Determine whether the mapping S: M2(R) → M2(R) defined by S(A) = A + AT is a linear transformation. Explain your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 8EQ: In Exercises 1-12, determine whether T is a linear transformation. 8. defined by
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4. Determine whether the mapping S : M2(R) → M2(R) defined by S(A) = A+ AT is a
linear transformation. Explain your answer.
Transcribed Image Text:4. Determine whether the mapping S : M2(R) → M2(R) defined by S(A) = A+ AT is a linear transformation. Explain your answer.
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