6. 'The mapping T :R³ → R? is defined as T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z) is a linear transformation from R³ into R2. Then %3D its Kernel T is (a) L{a} where a = (- 1, 5, 1) (b) L{a} where a = (- 1, 1, 5) %3D (c) L{a} where a = (- 5, 1, 1) (d) None of these
6. 'The mapping T :R³ → R? is defined as T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z) is a linear transformation from R³ into R2. Then %3D its Kernel T is (a) L{a} where a = (- 1, 5, 1) (b) L{a} where a = (- 1, 1, 5) %3D (c) L{a} where a = (- 5, 1, 1) (d) None of these
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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Question
![6. 'The mapping T :R³ → R² is defined as
T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z)
is a linear transformation from R³ into R². Then
%3D
its Kernel T is
(a) L {c} where a = (- 1, 5, 1)
(b) L{a} where a = (- 1, 1, 5)
(ç) L{a} where a = (- 5, 1, 1)
(d) None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcaff9ee-838f-409a-8935-d3d60c92b1d6%2Fd63f997e-3ebe-443f-a844-ab02cc3d935a%2Fd2xoig_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. 'The mapping T :R³ → R² is defined as
T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z)
is a linear transformation from R³ into R². Then
%3D
its Kernel T is
(a) L {c} where a = (- 1, 5, 1)
(b) L{a} where a = (- 1, 1, 5)
(ç) L{a} where a = (- 5, 1, 1)
(d) None of these
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