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Find the pieces, and n and draw Figure 4.3 properly if A= 0 and z = 0 · [3].

Find the pieces, and n and draw Figure 4.3 properly if A= 0 and z = 0 · [3].

Advanced Engineering Mathematics
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 pieces, and n and draw Figure 4.3 properly if A = 2 0 and x= 0 [3]. 0 0
Transcribed Image Text:Find the pieces, and n and draw Figure 4.3 properly if A = 2 0 and x= 0 [3]. 0 0
dim r all combinations of the rows R" all vectors orthogonal to the rows dim n-r Ax,-b Ax=b all combinations b of the dim r columns R Ax=0 all vectors orthogonal to the columns dim m-r Figure 4.3: This update of Figure 4.2 shows the true action of A on x = x + In- Row space vector + to column space, nullspace vector л to zero.
Transcribed Image Text:dim r all combinations of the rows R" all vectors orthogonal to the rows dim n-r Ax,-b Ax=b all combinations b of the dim r columns R Ax=0 all vectors orthogonal to the columns dim m-r Figure 4.3: This update of Figure 4.2 shows the true action of A on x = x + In- Row space vector + to column space, nullspace vector л to zero.
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