Question: Let B = 1 i i 1 and define S = {A M 2x2 (C) | BA = 0 2x2 } Show that S is

Let B =

1 i

i 1

and define

S = {A M2x2(C) | BA = 02x2}

  1. Show that S is a subspace of M2x2(C).
  2. Find a basis for S.
  3. State the dimension of S.

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