Recent content by david118

  1. D

    Eigenvalues/Vectors with bizarre 3x3 matrix

    Homework Statement Let B := 2 1 5 0 2 3 0 0 2. [Hint: Write B as a diag-matrix plus a nilpotent matrix.] Then B^2005 = ? Homework Equations The Attempt at a Solution so i found the eigenvalue to be 2, with a multiplicity of 3. When plugging the eigenvalue back into B, the original matrix, I...
  2. D

    T invariant subspace (intro lin alg class undergrad)

    Homework Statement V=Matrix (2x2), T(A) = (0 1 ) A , and W = {A\epsilon V: A^{}t = A (1 0) Homework Equations So T(A) transformation, multiplies a 2x2 matix with entries 0 1 1 0 by A with A on the right side The Attempt at a Solution I...