Find bases for the four fundamental subspaces of the matrix A as follows. N(A) = nullspace of A R(A) = column space of A N(AT) = nullspace of AT R(AT) = column space of AT

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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Mention all definitions used in this question
Find bases for the four fundamental
subspaces of the matrix A as follows.
N(A) = nullspace
of A
R(A) = column
space of A
1
Then show that N(A) = R(AT) and N(AT) =
R(A).
1 -1
021
1
3
N(AT) = nullspace of
АТ
O
R(AT) = column
space of AT
Transcribed Image Text:Find bases for the four fundamental subspaces of the matrix A as follows. N(A) = nullspace of A R(A) = column space of A 1 Then show that N(A) = R(AT) and N(AT) = R(A). 1 -1 021 1 3 N(AT) = nullspace of АТ O R(AT) = column space of AT
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