Find the projection of x on to Row(A). Call this vector Row. Show that XNul and Row are orthogonal. Will this be the case for all matrices A and all vectors x? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Where x_nul = (-1, -1, 1, -2, 0) <- a vector. (if this is not right, please use your own result)

Find the projection of x on to Row(A). Call this vector Row.
Show that XNul and Row are orthogonal. Will this be the case for all matrices A and all
vectors x? Explain.
Transcribed Image Text:Find the projection of x on to Row(A). Call this vector Row. Show that XNul and Row are orthogonal. Will this be the case for all matrices A and all vectors x? Explain.
Let
X =
TONT.
1
and
3
0
A = 0
3
1
0
-2
-4
-4
0
3
00
-2 00
-4 0 1
-1
01
1
0 0
Transcribed Image Text:Let X = TONT. 1 and 3 0 A = 0 3 1 0 -2 -4 -4 0 3 00 -2 00 -4 0 1 -1 01 1 0 0
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