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Let H be the hyperplane through the points. Find a linear functional f and a real number d such that H = [f:d]. 1 2 - 1 3 3 2 - 1 1 2 1 1 O A. f(x1,X2,X3,X4) = 2×2 - X3 + 5×4, d = 5 B. f(x1,X2.X3,X4) = 5x, + 6x2 + 2x3 + 5x4, d= 10 C. f(x1,X2,X3,X4) =x1 - 2x2 – 6x3 + 13X4, d= 12 D. f(x1,X2.X3,X4) = - 5x, + 2x2 – 6x3 + 5×4, d=0 %3D

Let H be the hyperplane through the points. Find a linear functional f and a real number d such that H = [f:d]. 1 2 - 1 3 3 2 - 1 1 2 1 1 O A. f(x1,X2,X3,X4) = 2×2 - X3 + 5×4, d = 5 B. f(x1,X2.X3,X4) = 5x, + 6x2 + 2x3 + 5x4, d= 10 C. f(x1,X2,X3,X4) =x1 - 2x2 – 6x3 + 13X4, d= 12 D. f(x1,X2.X3,X4) = - 5x, + 2x2 – 6x3 + 5×4, d=0 %3D

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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Hi I selected D, but I'm not sure if it is the correct answer. Please specify which option is correct in your answer. Thank you.

Let H be the hyperplane through the points. Find a linear functional f and a real number d such that H = [f:d]. 1 2 - 1 3 2 - 1 1 1 A. f(X1,X2,X3.X4) = 2x2 – X3 + 5×4, d = 5 B. f(x1,X2,X3.X4) = 5x, + 6x2 + 2×3 + 5x4, d= 10 O C. f(x1,X2.X3,X4) = x1 - 2x2 – 6x3 + 13x4, d= 12 D. f(X1,X2,X3,X4) = - 5x, +2x2 - 6x3 + 5×4, d=0 3.
Transcribed Image Text:Let H be the hyperplane through the points. Find a linear functional f and a real number d such that H = [f:d]. 1 2 - 1 3 2 - 1 1 1 A. f(X1,X2,X3.X4) = 2x2 – X3 + 5×4, d = 5 B. f(x1,X2,X3.X4) = 5x, + 6x2 + 2×3 + 5x4, d= 10 O C. f(x1,X2.X3,X4) = x1 - 2x2 – 6x3 + 13x4, d= 12 D. f(X1,X2,X3,X4) = - 5x, +2x2 - 6x3 + 5×4, d=0 3.
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