Answered: Find the matrix of the linear…

Find the matrix of the linear transformation T from R2 -> R² where T([1, 0]) = [1, –2] and T([2, 1) = [2, 3] %3D (Note: matrix A = [T([1, 0]), T([0, 1])] 1 -2 (a) 1 1 (c) -2 (b) -2 3 (d) 3 a C

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

Find the matrix of the linear transformation T from R2 - R²
where T([1, 0]) = [1, –2]
and T([2, 1]) = [2, 3]
%3D
(Note: matrix A = [T([1, 0]), T([0, 1])]
1 -2
(a)
1
(b)
1
(c)
-2
(d)
-2
3
7
3
Ob
a
C

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