Task 1 Verify that a given mapping L is linear if: 3 L (х,у,2, w) — (x — Зw, Зу — wtz),x, у, z, wER If L is a mapping then determine a) Im L b) Ker L

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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Task 1 Verify that a given mapping L is linear if:
3
L (x, у, z, w) 3D (х — Зw, Зу — - wtz),x, у, z, wE R
If L is a mapping then determine
a) Im L
b) Ker L
Transcribed Image Text:Task 1 Verify that a given mapping L is linear if: 3 L (x, у, z, w) 3D (х — Зw, Зу — - wtz),x, у, z, wE R If L is a mapping then determine a) Im L b) Ker L
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