all of part (a) please V5a2 + I3= 2,3. Each of J, K, L, M and N is a linear transformation from R2 to R2. These functionsare 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.

Since the question has multiple parts but according to guidelines we will solve the first three sub…

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 17CM

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Question

all of part (a) please

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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