let A = 11 -3. 3 T 63 2.3 and b=3 1 -4 2 boron's sdt b017 a) Show that it is impossible to find a vector X such that Ax=b. 22 b) Find the vector x which has the property that Ax is as close to b as possible. That is, find the vector x for which the quantity 11Ax-bill is small as possible. CJ True or False ; b is in the column space of A.

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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Let A = 1
A= 1 -3
-1
3
3
2.3
6
Taiment log Sitthetsoons sdt 607
and b = 3
1
-4
2
a) Show that it is impossible to find a vector X such that Ax=b.
6)
b) Find the vector x which has the property that Ax is as close
tobb as possible. That is, find the vector x for which the
quantity 11Ax-bil is small as possible. I
CJ True or False ; b is in the column space of A.
Transcribed Image Text:Let A = 1 A= 1 -3 -1 3 3 2.3 6 Taiment log Sitthetsoons sdt 607 and b = 3 1 -4 2 a) Show that it is impossible to find a vector X such that Ax=b. 6) b) Find the vector x which has the property that Ax is as close tobb as possible. That is, find the vector x for which the quantity 11Ax-bil is small as possible. I CJ True or False ; b is in the column space of A.
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