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Ex12. Let L:R5 → Rª be defined by X y ·10 L = V W 1 1 2 0 -1 3 0 0 2 0 -1 5 - 1 - 0 X y Z V W ● a) Find ker L, basis for ker L, dim(ker L) and determine if L one to one. b) Find range L, basis for range L, dim(range L) and determine if L onto.

Ex12. Let L:R5 → Rª be defined by X y ·10 L = V W 1 1 2 0 -1 3 0 0 2 0 -1 5 - 1 - 0 X y Z V W ● a) Find ker L, basis for ker L, dim(ker L) and determine if L one to one. b) Find range L, basis for range L, dim(range L) and determine if L onto.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Linear Transformation
Ex12. Let L:R5 → Rª be defined by X y ·10 L = V W 1 1 2 0 -1 3 0 0 2 0 -1 5 - 1 - -1 0 X y Z V W ● a) Find ker L, basis for ker L, dim(ker L) and determine if L one to one. b) Find range L, basis for range L, dim(range L) and determine if L onto.
Transcribed Image Text:Ex12. Let L:R5 → Rª be defined by X y ·10 L = V W 1 1 2 0 -1 3 0 0 2 0 -1 5 - 1 - -1 0 X y Z V W ● a) Find ker L, basis for ker L, dim(ker L) and determine if L one to one. b) Find range L, basis for range L, dim(range L) and determine if L onto.
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