Draw Figure 4.2 to show each subspace correctly for A = and B = 36 3
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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Transcribed Image Text:dimension
row
space
of A
row space to column space
Axrow = b
column
space
of A
R"
90°
90°
nullspace
of A
Axnull =0
nullspace to 0
nullspace
of AT
dimension
=n-r
dimension
=m-r
dimension
Figure 4.2: Two pairs of orthogonal subspaces. The dimensions add to n and add to m.
This is the Big Picture-two subspaces in R" and two subspaces in R™.
Transcribed Image Text:(Recommended) Draw Figure 4.2 to show each subspace correctly for
and B
A= --
=
36
3 0
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