4. Consider the set X (1) = 2,0 (2) = 3, = {1, 2, 3, 4}....

  

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4. Consider the set X (1) = 2,0 (2) = 3, = {1, 2, 3, 4}. Consider the map : XX given by: (3) = 4, (4) = 1. Compute Tr (*) and det (*). In your computation you will have to choose a basis, present o* as a matrix and compute the trace and the determinant of this matrix. Describe your full computation. 4. Consider the set X (1) = 2,0 (2) = 3, = {1, 2, 3, 4}. Consider the map : XX given by: (3) = 4, (4) = 1. Compute Tr (*) and det (*). In your computation you will have to choose a basis, present o* as a matrix and compute the trace and the determinant of this matrix. Describe your full computation.