You are given three vectors in mathbbR¹: Apply the Gram-Schmidt process to obtain the orthonormal system {u₁, U₂, U3}. Mark only correct statements. O b. 11₂ O d. 113 √5 c. us Lin{u₁, ₂} 40 1 112 2 √55 5 0 1 -B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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mathbbR^4 means just "R^4". everything else is clear in the image that I attached. Please solve this as fast as possible !

You are given three vectors in mathbbR¹:
--0---0---0
a.
Ob.
Apply the Gram-Schmidt process to obtain the orthonormal system {1₁, 1₂, 13).
Mark only correct statements.
0
1
O d.
11₂ =
U1₂
113
1 2
+0
√5
c. u3 € Lin{u₁, U₂}
5
1
-1
√55 -5
11₂
1
√√55
-5
-1
5
1
1
+0
√5
1
20
2
Transcribed Image Text:You are given three vectors in mathbbR¹: --0---0---0 a. Ob. Apply the Gram-Schmidt process to obtain the orthonormal system {1₁, 1₂, 13). Mark only correct statements. 0 1 O d. 11₂ = U1₂ 113 1 2 +0 √5 c. u3 € Lin{u₁, U₂} 5 1 -1 √55 -5 11₂ 1 √√55 -5 -1 5 1 1 +0 √5 1 20 2
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