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Illustration is given f: R³ R³: (x, y, z)→f(x, y, z) = (x-2y, y-2z, -x+4=) Determine the values of the parameter a=R, for which the vector (1, 2, a)=R³ belongs to the image of f. Find two vectors that belong to the inverse image of the vector (1, 2, a).

Illustration is given f: R³ R³: (x, y, z)→f(x, y, z) = (x-2y, y-2z, -x+4=) Determine the values of the parameter a=R, for which the vector (1, 2, a)=R³ belongs to the image of f. Find two vectors that belong to the inverse image of the vector (1, 2, a).

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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6B Illustration is given f: R³ R³: (x, y, z) →f(x, y, z) = (x-2y, y-2z, -x+4z) Determine the values of the parameter a=R, for which the vector (1, 2, a) ER³ belongs to the image of f. Find two vectors that belong to the inverse image of the vector (1, 2, α).
Transcribed Image Text:6B Illustration is given f: R³ R³: (x, y, z) →f(x, y, z) = (x-2y, y-2z, -x+4z) Determine the values of the parameter a=R, for which the vector (1, 2, a) ER³ belongs to the image of f. Find two vectors that belong to the inverse image of the vector (1, 2, α).
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