Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal basis for the solution space of the homogen X1 + X2 - X3 - 2x4 = 0 2x1 + X2 - 2x3 - 4x4 = 0 1 1 6. 1 2 u2 = 42 42 21

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal basis for the solution space of the homogeneous linear system.
X1 + X2 - X3 - 2x4 = 0
2x1 + X2 - 2x3 - 4x4 = 0
1
1
uj =
7.
1
uz =
42
42
21
Transcribed Image Text:Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal basis for the solution space of the homogeneous linear system. X1 + X2 - X3 - 2x4 = 0 2x1 + X2 - 2x3 - 4x4 = 0 1 1 uj = 7. 1 uz = 42 42 21
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