Find all eigenvalues and a basis for each eigenspace for the following matrix. If an eigenvalue has algebraic multiplicity ma > 1, find its geometric multiplicity mg. (Order eigenvalues from largest to smallest real part, then from largest to smallest coefficient of the imaginary part. If ma = 1, enter 1). [1 9 2 -6]
Find all eigenvalues and a basis for each eigenspace for the following matrix. If an eigenvalue has algebraic multiplicity ma > 1, find its geometric multiplicity mo. (Order eigenvalues from smallest to largest real part, then by imaginary part. If ma = 1, enter 1).
[1 1 0 0 3 0 0 0 4]