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1. Discuss the row picture of the following systems, ax + by = ax + by = 0 (a) d ax+by+qz = (b) a2x+by+0

 

1. Discuss the row picture of the following systems, ax + by = ax + by = 0 (a) d ax+by+qz = (b) a2x+by+0 = d azz+by+cz = d 2. Solve each of the following system of equations using row echelon form (Gaussian Elimi- nation). Also, comment the type of the solution. (2 x 5 = 10) 21+ 2x = 2 1 (a) 211+12+13= 1 (b) 2++1273 = 2x + x3 = 2 21 +222 +9x3 = -1 3. Solve each of the following system of equations using reduced row echelon form (Gauss Jordan Elimination). Also, comment the type of the solution. (3 x 5 = 15) (a) (b) -11+1+13 + 2x = 1 21 +213 + = 0 271 +213 + 14 1 (c)-9218r2 + 23-24 = 9 571-572-4573 +1024 = 1 -1 +72 +973-3r = 1 4. For which values of A, the system of equation has either an unique solution or no solution or infinitely many solution? (5) 7 +27-73 = 3x1-1 +213 = 471 +22+ (A-9) 13 3 3 A+5

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