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Each of J, K, L, M and N is a linear transformation from R' to R?. These functions are given as follows: J(21, #2) = (5x1 – 5x2, –10r, + 10z2), K(#1, x2) = (-/5æ2, /5x1), L(11, #2) = (x2, –21), M(21, 12) = (5x1 + 5x2, 10r1 - 6x2), N(21, T2) = (-V5¤1, /5x2).

Each of J, K, L, M and N is a linear transformation from R' to R?. These functions are given as follows: J(21, #2) = (5x1 – 5x2, –10r, + 10z2), K(#1, x2) = (-/5æ2, /5x1), L(11, #2) = (x2, –21), M(21, 12) = (5x1 + 5x2, 10r1 - 6x2), N(21, T2) = (-V5¤1, /5x2).

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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 compute the determinant of the transformation.

det J= ,det K= ,det L= ,det M= ,det N=

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Each of J, K, L, M and N is a linear transformation from R' to R These functions are given as follows: J(21, 22) – (5x – 522, –10r1 + 10r2), K(21, #2) = (-V5x2, /5x1), L(21, C2) = (12, -41), M(21, r2) = (5zı + 5x2, 10r1 – 62), N(C1, 22) = (-V5¤1, /5x2).
Transcribed Image Text:Each of J, K, L, M and N is a linear transformation from R' to R These functions are given as follows: J(21, 22) – (5x – 522, –10r1 + 10r2), K(21, #2) = (-V5x2, /5x1), L(21, C2) = (12, -41), M(21, r2) = (5zı + 5x2, 10r1 – 62), N(C1, 22) = (-V5¤1, /5x2).
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