3. Each of J, K, L, M and N is a linear transformation from R2 to R?. These functions are given as follows: J(11, 12) = (5x1 - 3r2, –10x1 + 6x2), K(r1, 12) = (-12,1), L(11, r2) = (r2, I1), M(x1, 12) = (3x1 +12, I1 + 2x2), N(11, T2) = (-1, r2). %3D
3. Each of J, K, L, M and N is a linear transformation from R2 to R?. These functions are given as follows: J(11, 12) = (5x1 - 3r2, –10x1 + 6x2), K(r1, 12) = (-12,1), L(11, r2) = (r2, I1), M(x1, 12) = (3x1 +12, I1 + 2x2), N(11, T2) = (-1, r2). %3D
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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Question
all of part (a) please
Transcribed Image Text:V5a2 + I3
= 2,
3. Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions
are given as follows:
J(21, x2) = (5x1 – 3r2, –10x1 + 6x2),
K(r1, T2) = (-x2, a1),
L(r1, r2) = (r2, Ti),
M(x1, 12) = (3x1 + x2, I1 + 2x2),
N(21, 12) = (-21, 2).
(a) In each case, write down the matrix of the transformation and compute its deter-
minant.
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