Let T:R³ -> R³ be multiplication by T1 -2 -21 [1 2-3-4 0 0 1. The kernel of T is a line through the origin. Find a vector equation for it. अ = t 2 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 8E
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Let T:R³ -> R³ be multiplication by
T1 -2 -21
[1
2-3-4
0 0
1. The kernel of T is a line through the origin. Find a vector equation for it.
अ
= t
2
2. The range of T is a plane through the origin. Find an equation for it.
X +
y +
Z = 0
Transcribed Image Text:Let T:R³ -> R³ be multiplication by T1 -2 -21 [1 2-3-4 0 0 1. The kernel of T is a line through the origin. Find a vector equation for it. अ = t 2 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = 0
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