Find a matrix representative for the linear functions (a) L: R2 R2 that maps ei to and

Question:

Find a matrix representative for the linear functions
(a) L: R2 †’ R2 that maps ei to
Find a matrix representative for the linear functions
(a) L: R2

and e2 to

Find a matrix representative for the linear functions
(a) L: R2

(b) M: R2 †’ R2 that takes e1 to

Find a matrix representative for the linear functions
(a) L: R2

and e2 to

Find a matrix representative for the linear functions
(a) L: R2

and
(c) N: R2 †’ R2 that takes

Find a matrix representative for the linear functions
(a) L: R2

and

Find a matrix representative for the linear functions
(a) L: R2

(d) Explain why M = N —‹ L.
(e) Verify part (d) by multiplying the matrix representatives in the proper order.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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