has RREF (a) Find a basis for the Row Space of the matrix A Basis = { }. (b) What is the rank of the matrix? (c) What is the nullity of the matrix? A = 2 4 -6 <-4 3 5 -10 -7 -8 -4 -14 -8 26 12 18 ∞ 1 [1 0 -1 -2 01 -2 0 0 0 1 00 0 1 0 0 000 0 0 0 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The matrix
has RREF
(a) Find a basis for the Row Space of the matrix A.
Basis
(b) What is the rank of the matrix?
(c) What is the nullity of the matrix?
A =
2
-6
-4
1
0
0
1
00
00
0
3
5
-10
-7
-8
-14
26
18
-4 07
80
0
2
A
12
8
-1 -2 01
-2
0 0
0
0
1
0
0
0
Transcribed Image Text:The matrix has RREF (a) Find a basis for the Row Space of the matrix A. Basis (b) What is the rank of the matrix? (c) What is the nullity of the matrix? A = 2 -6 -4 1 0 0 1 00 00 0 3 5 -10 -7 -8 -14 26 18 -4 07 80 0 2 A 12 8 -1 -2 01 -2 0 0 0 0 1 0 0 0
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