Find the rank of the matrix 02 00 04 03 01 -2 -10 10 17 15-5-9 0001

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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Find the rank of the matrix
02
00
04
03
01
Find a basis for and the dimension of the solution space of Ax = 0.
1 2 2
5 13 7
393
T-2 -10 10 171
15-5-9
0001
O {(-4, 1, 0)), dim = 1
O {(4, 1, 1)), dim = 3
O {(-4, 1, 1)), dim = 1
O {(4, 1, 0), (0, 0, 1)), dim = 2
O {(4, 1, 0). (0, 0, 1)), dim = 3
Transcribed Image Text:Find the rank of the matrix 02 00 04 03 01 Find a basis for and the dimension of the solution space of Ax = 0. 1 2 2 5 13 7 393 T-2 -10 10 171 15-5-9 0001 O {(-4, 1, 0)), dim = 1 O {(4, 1, 1)), dim = 3 O {(-4, 1, 1)), dim = 1 O {(4, 1, 0), (0, 0, 1)), dim = 2 O {(4, 1, 0). (0, 0, 1)), dim = 3
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