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7. Let V be the vector space of polynomials in two variables x and y of degree at most two: V = {ax² + bxy + cy² + dx + ey + ƒ | a, b, c, d, e, ƒ ≤ R}. Let T be the linear operator on V defined by T(g(x, y)) = Ә 29(x, y) + g(x,y). ду Find the Jordan canonical form of T.

7. Let V be the vector space of polynomials in two variables x and y of degree at most two: V = {ax² + bxy + cy² + dx + ey + ƒ | a, b, c, d, e, ƒ ≤ R}. Let T be the linear operator on V defined by T(g(x, y)) = Ә 29(x, y) + g(x,y). ду Find the Jordan canonical form of T.

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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7. Let V be the vector space of polynomials in two variables x and y of degree at most two: V = {ax² + bxy + cy² + dx + ey + ƒ | a, b, c, d, e, ƒ € R}. Let T be the linear operator on V defined by T(g(x, y)) = Ə Ix 9 (x, y) + Find the Jordan canonical form of T. Ə dy I (x, y). ду
Transcribed Image Text:7. Let V be the vector space of polynomials in two variables x and y of degree at most two: V = {ax² + bxy + cy² + dx + ey + ƒ | a, b, c, d, e, ƒ € R}. Let T be the linear operator on V defined by T(g(x, y)) = Ə Ix 9 (x, y) + Find the Jordan canonical form of T. Ə dy I (x, y). ду
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