4. Let L: R2 → R, be the linear transformation defined by (a) Find ker L. [In in + In In] = ([ ?n In]) 7 (b) Is L one-to-one? (c) Is L onto?

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 4CM
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4. Let L: R2 → R3 be the linear transformation defined by
L ([u1 u2]) = [u, ui + u2 uz].
(a) Find ker L.
(b) Is L one-to-one?
(c) Is L onto?
Transcribed Image Text:4. Let L: R2 → R3 be the linear transformation defined by L ([u1 u2]) = [u, ui + u2 uz]. (a) Find ker L. (b) Is L one-to-one? (c) Is L onto?
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