A = B = 1 2 10 0 2 5 1 1 0 3 7 2 2 -2 15 34 11 2 4 10 30-4 0 1 -1 0 0 0 00 NT 2 01-2 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of
A = B = 1 2 10 0 2 5 1 1 0 3 7 2 2 -2 15 34 11 2 4 10 30-4 0 1 -1 0 0 0 00 NT 2 01-2 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of
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

Transcribed Image Text:(c) Find a basis for the row space of A.
(88888;}
(d) Find a basis for the column space of A.

Transcribed Image Text:Use the fact that matrices A and B are row-equivalent.
1 2
10 0
0
2
1 1
3 7 22-2
15 34 11 2 4
10 30-4
0 1 -1 0 2
0 1 -2
0 0
00 00 0
A =
B =
UN
5
(a) Find the rank and nullity of A.
rank
nullity
(b) Find a basis for the nullspace of A.
(c) Find a basis for the row space of A.
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