Recent content by Candice

  1. C

    Please help. What is the relation between the kernel of A an

    Homework Statement What is the relation between the kernel of A and the kernel of (A^2 + A)? Homework EquationsThe Attempt at a Solution Break into A^2x = 0 and Ax = 0. We know Ax = 0 because that's the kernel of A, ker(A^2x) is subset of ker(A) so ker(A^2 + A) is a subset of ker (A)?
  2. C

    Relation between image(A) and image(A^2+A)

    Homework Statement What is the relation between the image of A and the image of A2 + A? Homework EquationsThe Attempt at a Solution im (A^2 + A) for x (A^2+A) is within the image. Linear combination properties show A^2 x + A x. Not sure where to go from here