The given vectors form a basis for R3. Apply the Gram-Schmidt Process to obtain an orthogonal basis. Then normalize this basis to obtain an orthonormal basis. (Use the Gram-Schmidt Process found here calculate your answer. Enter sqrt(n) for n.) X = x2 = ,X3 = sqrt(3)/3 sqrt(6)/3 6 B = -sqrt(3)/3 sgrt(6)/6 -sgrt(2)/2 sqrt(3)/3 sgrt(6/6 sqrt(2)/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The given vectors form a basis for R3. Apply the Gram-Schmidt Process to obtain an orthogonal basis. Then normalize this basis to obtain an orthonormal basis. (Use the Gram-Schmidt Process found here to
calculate your answer. Enter sqrt(n) for vn.)
4
3
X1
-4
3
, X3
%D
-4
3
4
sqrt(3)/3
sqrt(6)/3
B =
|-sqrt(3)/3
sqrt(6)/6
|-sqrt(2)/2
sqrt(3)/3
sqrt(6)/6
sqrt(2)/2
Transcribed Image Text:The given vectors form a basis for R3. Apply the Gram-Schmidt Process to obtain an orthogonal basis. Then normalize this basis to obtain an orthonormal basis. (Use the Gram-Schmidt Process found here to calculate your answer. Enter sqrt(n) for vn.) 4 3 X1 -4 3 , X3 %D -4 3 4 sqrt(3)/3 sqrt(6)/3 B = |-sqrt(3)/3 sqrt(6)/6 |-sqrt(2)/2 sqrt(3)/3 sqrt(6)/6 sqrt(2)/2
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