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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