Let T:R3 -> -11-1 95 R³ be multiplication by 2 10-17 6 1 -1 1. The kernel of T is a line through the origin. Find a vector equation for it. У א B = t 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let T:R3
->
-11-1
95
R³ be multiplication by
2
10-17
6
1 -1
1. The kernel of T is a line through the origin. Find a vector equation for it.
У
א
B
= t
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 -> -11-1 95 R³ be multiplication by 2 10-17 6 1 -1 1. The kernel of T is a line through the origin. Find a vector equation for it. У א B = t 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = = 0
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