Using the following 3 linear transformations, find their matrices: g(x, y) = (7x, 2y) h(x,y)=(x+4y,y) k(x, y) = (y, x) and then show that the linear transformation f = k ◦ h ◦ g is represented by the matrix A = (0 2) (7 8)

Using the following 3 linear transformations, find their matrices: g(x, y) = (7x, 2y) h(x,y)=(x+4y,y) k(x, y) = (y, x) and then show that the linear transformation f = k ◦ h ◦ g is represented by the matrix A = (0 2) (7 8)

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

Using the following 3 linear transformations, find their matrices:

g(x, y) = (7x, 2y)
h(x,y)=(x+4y,y)
k(x, y) = (y, x)

and then show that the linear transformation

f = k ◦ h ◦ g is represented by the matrix

A = (0 2)

(7 8)

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