6. Determine whether the following linear transformations are one-to-one. Are they onto? Justify your answer. (a) S1 : M2(R) → R defined by S1(A) = a11 + a22. (b) S2 : M2(R) → M2(R) defined by S2(A) = A+ A". (c) S3 : Po(R) → P; (R) defined by S3(p(x)) = p(t)dt.
6. Determine whether the following linear transformations are one-to-one. Are they onto? Justify your answer. (a) S1 : M2(R) → R defined by S1(A) = a11 + a22. (b) S2 : M2(R) → M2(R) defined by S2(A) = A+ A". (c) S3 : Po(R) → P; (R) defined by S3(p(x)) = p(t)dt.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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