L: R3 → R² and L(x) = (2x1 – x2, X2 + x3). Show that ker(L) is a subspace of R3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 26CR
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![L: R3 → R? and L(x) = (2x1 – x2, X2 + x3).
Show that ker(L) is a subspace of R³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb42d30d5-1110-4c65-a926-445add8bba84%2Fe2354385-5075-49fd-843a-e36a6bf4d358%2Fijrerg8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:L: R3 → R? and L(x) = (2x1 – x2, X2 + x3).
Show that ker(L) is a subspace of R³
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