Let Ao be an 5 × 5-matrix with det (Ao) = 2. 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 fourth row of Ao by the number 3. det (A₁) = 6 6 [2mark] A2 is obtained from Ao by replacing the second row by the sum of itself plus the 4 times the third row. det (4₂) = 2 2 [2mark] A3 is obtained from Ao by multiplying Ao by itself.. det (A3) = [2mark] A4 is obtained from Ao by swapping the first and last rows of Ao. det (A4) = [2mark] A5 is obtained from Ao by scaling Ao by the number 3. det (A5) = [2mark]