6) U1= 0,02 31 5, U3= 6, X = 6 x-1.0] 9 - 38 a. Show that the set of vectors u's is orthogonal. b. Find the projection of x on the subspace W spanned by u₁, u2 and u3.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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*-[
-91
9
-38
a. Show that the set of vectors u's is orthogonal.
6) U1 =
U2
5,03 =
6
6,X =
b. Find the projection of x on the subspace W spanned by u1, u2 and u3.
c. Find the closest point to x in the subspace W. Is x in W? Why?
Transcribed Image Text:*-[ -91 9 -38 a. Show that the set of vectors u's is orthogonal. 6) U1 = U2 5,03 = 6 6,X = b. Find the projection of x on the subspace W spanned by u1, u2 and u3. c. Find the closest point to x in the subspace W. Is x in W? Why?
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