V₁ = M 0 , V₂ = 1 and V3 = 11 0 -5 [3] เย เย 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.) Note: The u; must be given in the same order as provided by the standard procedure.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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Let
V1 =
U₁ =
||
I-
0
5
0
[ 2 ]
2
V2
3
[³]
0
1
-3
0
[-5]
"
and v3
1-51
0
0
5
[ ³ ]
3
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.) Note: The u¡ must be
given in the same order as provided by the standard procedure.
Transcribed Image Text:Let V1 = U₁ = || I- 0 5 0 [ 2 ] 2 V2 3 [³] 0 1 -3 0 [-5] " and v3 1-51 0 0 5 [ ³ ] 3 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.) Note: The u¡ must be given in the same order as provided by the standard procedure.
(U₁, V₂)
(₁, ₁)
|
U₂ =
I
(U1, V3)
(U2, V3)
(U2, U₂)
[
U3 =
=
=
=
=
=
Transcribed Image Text:(U₁, V₂) (₁, ₁) | U₂ = I (U1, V3) (U2, V3) (U2, U₂) [ U3 = = = = = =
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