4 -2 4 0 1 2 1 2 1 Let A = and 3 6 0 6 1 5 10 -1 10 1 2 0 2 0 0 0 1 0 0 Rref(A) = 0 0 0 0 1 0 0 00 0 Q3.1 If T: Rn Rm is a linear transformation defined by matrix A above, then n = Q3.2 If TR" Rm is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim [Ker (T)] =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
4
-2
4
0
1
2
1
2
1
Let A =
and
3
6
0
6
1
5
10
-1
10 1
2
0
2
0
0
0
1
0 0
Rref(A) =
0 0
0 0
1
0
0
00 0
Q3.1
If T: Rn Rm is a linear transformation defined by matrix A above, then
n =
Q3.2
If TR"
Rm is a linear transformation defined by matrix A above, then find the
dimension of the kernel of T.
dim [Ker (T)] =
Transcribed Image Text:4 -2 4 0 1 2 1 2 1 Let A = and 3 6 0 6 1 5 10 -1 10 1 2 0 2 0 0 0 1 0 0 Rref(A) = 0 0 0 0 1 0 0 00 0 Q3.1 If T: Rn Rm is a linear transformation defined by matrix A above, then n = Q3.2 If TR" Rm is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim [Ker (T)] =
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