0 0 5 Let A = - 6 0 0 2 -4 0 0 (a) The eigenvalues of A are 1 = 5 and 1 = 2. Find a. basis for the eigenspace Es of A associated to the eigenvalue 1 = 5 and a basis of the eigenspace E2 of A associated to the eigenvalue 1 = 2. A basis for the eigenspace Es is BES = A basis for the eigenspace E2 is BEZ (b) State the algebraic multiplicity and the geometric multiplicity of each eigenvalue of A. Algebraic multiplicity of 1 = 5: alg(5) = Algebraic multiplicity of 1 = 2: alg(2) = Geometric multiplicity of 1 = 5: geo(5) = Geometric multiplicity of 1 = 2: geo(2) = (Hint: compute the characteristic polynomial CA(2) of A.) (c) Is A diagonalizable? (No answer given)