4. Let T: R4 → R³ with T 0-1 = a. What is the domain of T'? C. b. What is the codomain of T'? x + 2y + z -3x - 2y + 3w 4y + 3z + 3w 1 H 5 2 What is the image of under T'? 2 d. Find all the vectors that T maps to -1 H 5 Is T one-to-one? Justify your answer. f. Is Tonto? Justify your answer. g. Describe the kernel of T. Give a basis for it. h. Describe the range of T. Give a basis for it.
4. Let T: R4 → R³ with T 0-1 = a. What is the domain of T'? C. b. What is the codomain of T'? x + 2y + z -3x - 2y + 3w 4y + 3z + 3w 1 H 5 2 What is the image of under T'? 2 d. Find all the vectors that T maps to -1 H 5 Is T one-to-one? Justify your answer. f. Is Tonto? Justify your answer. g. Describe the kernel of T. Give a basis for it. h. Describe the range of T. Give a basis for it.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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