Exercise 4. (a) Suppose T E L(C²) is defined by T(r, y) = (-4y, x). Find the eigenvalues and the singular values of T. (b) Suppose T E L(C*) is defined by T(21, 2, 23, z4) = (22, 2z3, 3z4, 0). Find the eigenvalues and the singular values of T.

Exercise 4. (a) Suppose T E L(C²) is defined by T(r, y) = (-4y, x). Find the eigenvalues and the singular values of T. (b) Suppose T E L(C*) is defined by T(21, 2, 23, z4) = (22, 2z3, 3z4, 0). Find the eigenvalues and the singular values of T.

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

Exercise 4. (a) Suppose T E L(C²) is defined by T(x, y) = (-4y, x). Find the eigenvalues
and the singular values of T.
(b) Suppose T E L(C*) is defined by T(z1, 2, z3, 24) = (2, 2z3, 324, 0). Find the
eigenvalues and the singular values of T.

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