1.

5 1 Let the matrix act on C-. Find the eigenvalues and a basis for each eigenspace in C2. -5 3 Select all that apply. -1-21 -1-2i A. )=4-2i, v= B. X=4+2ijv= 5 -1+2i -1+2i OC. A=4-2i, v= D. X=2-41, v= -1+2i -1-2i DE. A=4+2iv= OF. X= -4+2i; v= 4 2 -1-2i -1+2i G. A=2+41, v= OH. X= -4-2i, v= 5Let the matrix below act on 122. Find the eigenvalues and a basis for each eigenspace in C2. [2 ":i 5 :1 4 5 {Type an exact answer. using radicals and f as needed. Use a comma to separate answers as needed] The eigenvalues of[ ] are 5+4i .54 i. a basis for the eigenspace corresponding to the eigenvalue a + m, where b :- II]: is D. {Type an exact answer. using radicals and i as needed.) \f\f