-2 0 5 Let A = 0 -2 5 0 0 -2 (a) The eigenvalues of A are ) = -5 and ) = -2. Find a basis for the eigenspace E_ of A associated to the eigenvalue ) - -5 and a basis of the eigenspace E_2 of A associated to the eigenvalue 1 = -2 A basis for the eigenspace E_5 is BE S A basis for the eigenspace E_2 is W BE 2 (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 (A) of A.) (c) Is A diagonalizable? (No answer given) * (Make sure you know how to justify your answer.)