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The problem i need help with is the screenshot, the previous problem that the screenshot refers to is: Find the basis of the solution space U of the equation  x-y+z-w=0 of the form e_1=(a,1,0,0)  e_2=(b,0,1,0). e_3=(c,0,0,1) for some numbers a, b, c   please go step by step/explain how you got the answer

The problem i need help with is the screenshot, the previous problem that the screenshot refers to is: Find the basis of the solution space U of the equation  x-y+z-w=0 of the form e_1=(a,1,0,0)  e_2=(b,0,1,0). e_3=(c,0,0,1) for some numbers a, b, c   please go step by step/explain how you got the answer

Advanced Engineering Mathematics
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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The problem i need help with is the screenshot, the previous problem that the screenshot refers to is:

Find the basis of the solution space U of the equation  x-y+z-w=0 of the form

e_1=(a,1,0,0)  e_2=(b,0,1,0). e_3=(c,0,0,1)

for some numbers a, b, c

 

please go step by step/explain how you got the answer 

Using Gram-Schmidt process find the orthogonalisation of the basis e_1, e_2, e_3 from the previous problem That is an orthogonal basis of U u_1, u_2, u_3 with u_1=e_1, <u_1,u_2>=<e_1,e_2>, <u_1,u_2,u_3>=<e_1,e_2,e_3>
Transcribed Image Text:Using Gram-Schmidt process find the orthogonalisation of the basis e_1, e_2, e_3 from the previous problem That is an orthogonal basis of U u_1, u_2, u_3 with u_1=e_1, <u_1,u_2>=<e_1,e_2>, <u_1,u_2,u_3>=<e_1,e_2,e_3>
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