questions below:

Let the matrix below act on 02. Find the eigenvalues and a basis for each eigenspace in C2. 54 -45 E> 5 4 The eigenvalues of are El. -4 5 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to the eigenvalue a + bi, where b > 0, is E. (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace corresponding to the eigenvalue a - bi where b > 0, is El. (Type an exact answer, using radicals and i as needed.) Find a basis for the set of vectors in [R3 in the plane x 6y + 42 = 0. [Hint: Think of the equation as a "system" of homogeneous equations] A basis for the set of vectors in R3 in the plane x - 6y + 42 = 0 is U