7. Let R2x2 denote the vector space of real 2 x 2 matrices. Consider the 2 x 2 matrix and let W = {A € R2X2 : AX = XA}. (a) Show that W is a subspace of R2x2. (b) Find a basis for W.

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7. a) Ax = ANullspace is 0, null matrix is a subspace.b) basis is X forms a basis.
7. a) Ax = A
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Nullspace is 0, null matrix is a subspace.
b) basis is
X forms a basis.
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