Let l: R3 → R², 1 : r Ar where k +1 -2k 4 A 2 k - 3 4k a) Establish for which value of k, the linear function I is one to one b) Establish for which value of k, the linear function l is onto c) Set k = 1 find a basis for Iml and a basis for kerl
Let l: R3 → R², 1 : r Ar where k +1 -2k 4 A 2 k - 3 4k a) Establish for which value of k, the linear function I is one to one b) Establish for which value of k, the linear function l is onto c) Set k = 1 find a basis for Iml and a basis for kerl
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 29EQ
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![Let 1: R → R², 1 : + Ar where
k +1
-2k
4
A
2
k – 3 4k
a) Establish for which value of k, the linear function I is one to one
b) Establish for which value of k, the linear function l is onto
c) Set k = 1 find a basis for Iml and a basis for kerl](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5eeb09d-3d5c-40cc-977e-1f0da614df9d%2F891a148e-3fe8-451a-b866-14a1c1a10f82%2Frqz3x87_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let 1: R → R², 1 : + Ar where
k +1
-2k
4
A
2
k – 3 4k
a) Establish for which value of k, the linear function I is one to one
b) Establish for which value of k, the linear function l is onto
c) Set k = 1 find a basis for Iml and a basis for kerl
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