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[0] [1] 2 and y = 1 1 ,f = ,f3 , and let x = 1 2 Let fi 3 4 Show that {f1, f2, f3} is an orthogonal set, and that {f1, f2, f3, x} is 1.1 linearly independent. Apply the Gram-Schmidt algorithm to the set {f1,f2, f3, x} to find 1.2 a vector f4 so that {f1, f2, f3, f4} is orthogonal. You must use the Gram-Schmidt algorithm to determine f4 to get any points for this or the next problem. Find a, b, c, d e R so that y = af + bf2 + cf3 + df4. 1.3

[0] [1] 2 and y = 1 1 ,f = ,f3 , and let x = 1 2 Let fi 3 4 Show that {f1, f2, f3} is an orthogonal set, and that {f1, f2, f3, x} is 1.1 linearly independent. Apply the Gram-Schmidt algorithm to the set {f1,f2, f3, x} to find 1.2 a vector f4 so that {f1, f2, f3, f4} is orthogonal. You must use the Gram-Schmidt algorithm to determine f4 to get any points for this or the next problem. Find a, b, c, d e R so that y = af + bf2 + cf3 + df4. 1.3

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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q1  plz provide handwritten solution for this asap but The vector x should be (1, 2, -1, 1) not (1,2,1,1). 

Let f1 ,f2 , f3 , and let x = and 1 !y Show that {f1,f2, f3} is an orthogonal set, and that {f1, f2, f3, x} is 1.1 linearly independent. Apply the Gram-Schmidt algorithm to the set {f1, f2, f3, x} to find 1.2 a vector f4 so that {f1, f2, f3, f4} is orthogonal. You must use the Gram-Schmidt algorithm to determine f4 to get any points for this or the next problem. Find a, b, c, d eR so that y = afı + bf2 + cf3 + df4. 1.3
Transcribed Image Text:Let f1 ,f2 , f3 , and let x = and 1 !y Show that {f1,f2, f3} is an orthogonal set, and that {f1, f2, f3, x} is 1.1 linearly independent. Apply the Gram-Schmidt algorithm to the set {f1, f2, f3, x} to find 1.2 a vector f4 so that {f1, f2, f3, f4} is orthogonal. You must use the Gram-Schmidt algorithm to determine f4 to get any points for this or the next problem. Find a, b, c, d eR so that y = afı + bf2 + cf3 + df4. 1.3
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