Let U₁ = (U1, V2) (U1, U₁) V1 = U₂ || (U1, V3) (U2, V3) Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector u, before continuing.) The u, must be given in the same order as provided by the standard procedure. (U2, U2) = = 3 0 = 0 5 3 U3 3 0 and V3 = 3 0 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let
U₁
(U11, V2)
(U1, U₁)
-
V1 =
=
U₂ =
(U1, V3)
(U2, V3)
(U2, U₂)
=
Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited
submissions, it might be useful to submit to check your answer for each vector u, before continuing.) The u, must
be given in the same order as provided by the standard procedure.
=
3
0
=
0
5
-5
, V₂ =
3
U3
-5
3
0
3
0
and V3 =
3
0
-1
3
0
Transcribed Image Text:Let U₁ (U11, V2) (U1, U₁) - V1 = = U₂ = (U1, V3) (U2, V3) (U2, U₂) = Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector u, before continuing.) The u, must be given in the same order as provided by the standard procedure. = 3 0 = 0 5 -5 , V₂ = 3 U3 -5 3 0 3 0 and V3 = 3 0 -1 3 0
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