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3) For every possible he R, a lincar transformation l : R → R is defined by , (r, y. z) = (x - hy, z +r,x – y). Choose a value of h so that l is not an isomorplhism (i.c. not 1-1 and onto), and for such value of h find Kerla. Imlp. their basis and dimension

3) For every possible he R, a lincar transformation l : R → R is defined by , (r, y. z) = (x - hy, z +r,x – y). Choose a value of h so that l is not an isomorplhism (i.c. not 1-1 and onto), and for such value of h find Kerla. Imlp. their basis and dimension

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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3) For every possible h e R, a lincar transformation l : R* → R is defined by ,(a, y, z) = (x – hy, z+t, r – y). %3! Choose a valuc of h so that la is not an isomorplhisIm (i.c. not 1-1 and onto), and for such value of h find Kerla, Imlp, their basis and dimension
Transcribed Image Text:3) For every possible h e R, a lincar transformation l : R* → R is defined by ,(a, y, z) = (x – hy, z+t, r – y). %3! Choose a valuc of h so that la is not an isomorplhisIm (i.c. not 1-1 and onto), and for such value of h find Kerla, Imlp, their basis and dimension
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