Hello, can you help solve

1. Let A 2 NO O ON NO (a) Show that the characteristic polynomial for A is p(ac) = (x - 1) (x - 2)2. (b) What is the algebraic multiplicity of the eigenvalue A = 1? What is the algebraic multiplicity of the eigenvalue 1 = 2? (c) What is the geometric multiplicity of the eigenvalue > = 1? What is the geometric multiplicity of the eigenvalue 1 = 2? (d) Is A diagonalizable? (e) Show that A is a root of the characteristic polynomial, i.e., show that p( A) = (A-1I)(A-21)2 = 03x3