Let Ao be an 5 x 5-matrix with det (40) = 3. Compute the determinant of the matrices A1, A2, A3, A4 and A5, obtained from Ao by the following operations: A₁ is obtained from Ao by multiplying the third row of An by the number 3. det (A₁) = A2 is obtained from Ao by replacing the first row of Ap by the sum of itself plus the 2 times the third row. det (A₂) = A3 is obtained from Ao by multiplying Ao by itself. det (A3) = A₁ is obtained from Ao by swapping the first and last rows of Ao. det (A₁) = As is obtained from Ao by multiplying the matrix Ao by 2. det (45) =

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