Let T:R3 -> R3 be multiplication by ´11 -2 5 1 1 1 1. The kernel of T is a line through the origin. Find a vector equation for it. = t 2. The range of T is a plane through the origin. Find an equation for it. z = 0 x + y + నా

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 13EQ: In Exercises 13 and 14, give the vector equation of the plane passing through , and . 13.
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Let T:R3 -> R3 be multiplication by
11 -2 5
1
1
1
1. The kernel of T is a line through the origin. Find a vector equation for it.
= t
2. The range of T is a plane through the origin. Find an equation for it.
у +
z = 0
2.
Transcribed Image Text:Let T:R3 -> R3 be multiplication by 11 -2 5 1 1 1 1. The kernel of T is a line through the origin. Find a vector equation for it. = t 2. The range of T is a plane through the origin. Find an equation for it. у + z = 0 2.
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