Question

Find the general solution of the system whose augmented matrix is given below. 0 1 -6 6 1 -2 10 -6 Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer. A. B. X1 = X1 = X2 = X2 is free X3 is free X3 is free (Use integers or fractions for any numbers in the equation.) (Use integers or fractions for any numbers in the equation.) OC. D. The system has no solution. X1 = X2 X3 (Use integers or fractions for any numbers in the equation.)

Answer 1

1 Que &- find the general solution of the eystem whose augemented ted mabix il given below. 1 - 6 6 1 10 -6 solution We hare, Angermented matrix of eyedens -6 6. 1 -2 10 Then System i :: [1]: 1 -2 applying R, F f, we get

1 10 ou 닌 1 02. o 1.11 -6 73 -> 24- 242 +10Xg = -6 - - rij and % - 6*3=6 (ii) By Co = 6+6%3 Here xz w free rcciable Bych 4 -2(6+68₂) +10x3= ab =) 4 -12 -12X₂ + 10x3 = -6 x,-12 - 2013 = -6 =) 4 = -6 +12 +263 4 = 6+213 Therefore 4= 6+QX3, XQ = 6+6X3 , xz in free variable