a12 C2x2 5. Let W₁ = {[a1¹ an] laij € C} is a linear (vector) subspace of C²×² with all a22 a11 2 × 2 upper-triangular matrices and W₂ = {[ano]laij € C} is a linear (vector) a21 a22. subspace of C²×2 with all 2 × 2 low-triangular matrices. Prove that W₁ W₂ is also a subspace of C2x2. And give a basis and the dimension of linear space W₁W₂.

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