3. Let A = 1 -2 (d) Let b = -2 -2 -2 2 (a) Find a basis of S = N(A). (b) Find a basis of the orthogonal complement St. (c) Show that S is a subspacc. 1 -1 -1 2 2 2 1 . Does b E S?

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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1 -1 -1
2 2
-2
-2 -2 2 2
(a) Find a basis of S = N(A).
(b) Find a basis of the orthogonal complement St.
(c) Show that S is a subspacc.
3. Let A =
(d) Let b =
1
-2
1
. Does be S?
Transcribed Image Text:1 -1 -1 2 2 -2 -2 -2 2 2 (a) Find a basis of S = N(A). (b) Find a basis of the orthogonal complement St. (c) Show that S is a subspacc. 3. Let A = (d) Let b = 1 -2 1 . Does be S?
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