Page 808 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Find the kernel and nullity of T. :

Use Theorem 5.2.1 to determine which of the following are subspaces of complex
14.

(a) All complex matrices of the form

where and are real.
(b) All complex matrices of the form

where .

(c) All complex matrices A such that , where is the matrix whose entries are the conjugates of the
corresponding entries in A.

Use Theorem 5.2.1 to determine which of the following are subspaces of the vector space of complex-valued functions
15. of the real variable x:

(a) all f such that

(b) all f such that

(c) all f such that

(d) all f of the form , where and are complex numbers

Which of the following are linear combinations of and
16.

(a)

(b)

(c)