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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 6:
a) Determine whether the set of vectors in R" is orthogonal, orthonormal, or neither.
1) {(2,-4), (2,1))
2) {(0-2).(0,²5).(..))
3){(0,0,3). (0.0.1.0), (0.1.0.0).(-3,0,0,
b) Apply Gram-Schmidt process to transform the given basis for R" into an orthonormal
basis.
1) B = {(0,1), (2,5)}
2) B = {(1,1,1),(-3,0,-3).(-1,2,3)}
Transcribed Image Text:Exercise 6: a) Determine whether the set of vectors in R" is orthogonal, orthonormal, or neither. 1) {(2,-4), (2,1)) 2) {(0-2).(0,²5).(..)) 3){(0,0,3). (0.0.1.0), (0.1.0.0).(-3,0,0, b) Apply Gram-Schmidt process to transform the given basis for R" into an orthonormal basis. 1) B = {(0,1), (2,5)} 2) B = {(1,1,1),(-3,0,-3).(-1,2,3)}
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