Let A = 0 1 -1 0 and B= 0-i . It is given that W...

 

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Let A = 0 1 -1 0 and B= 0-i . It is given that W₁ = {XE M₂x2 (C): AX = XB) and W₂ = (X M₂x2 (C): AX = iX} are subspaces of M2x2 (C). (1.1) Find a basis for W₁. (1.2) Find a basis for W₁n W₂. (1.3) Explain whether M₂x2 (C) = W₁ W₂. Let A = 0 1 -1 0 and B= 0-i . It is given that W₁ = {XE M₂x2 (C): AX = XB) and W₂ = (X M₂x2 (C): AX = iX} are subspaces of M2x2 (C). (1.1) Find a basis for W₁. (1.2) Find a basis for W₁n W₂. (1.3) Explain whether M₂x2 (C) = W₁ W₂.

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We can make the necessary computations to determine the basis for the subspaces W1 and W2 Lets work through each section in turn Finding the answers t... View the full answer