3. Let T be a linear operator on R2k such that T2 + I = 0 where I is identity operator on R2 Prove that there exists a basis B3 for R24 such that the matrix [7]g is in block form given by Ok - Ik Ik Ok where I is the k x k identity matrix and 0% is the k x k zero matrix. [TB =

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Q: 4. Let T₁(x) = A₁ (x) and T₂(x) = A₂(x) be defined by the following matrices A₁, A2. Let T = T₂0 T₁.…

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