Question

find k if the equation x+y+z=7,x+2y+3z=18,y+kz=6 are inconsistent​

Answer 1

Explanation:

The given system is x + y + z = 7 , x + 2y + 3z = 18, y + 2z = 6. The matrix equation corresponding to the given system The last equivalent matrix is in the echelon form. [A, B] has 3 non-zero rows and [A] has 2 non- zero rows. ρ([A, B]) = 3, ρ(A) = 2 ρ(A) ≠ ρ([A, B]) Hence the given system is inconsistent and has no solutionRead more on Sarthaks.com - https://www.sarthaks.com/865197/examine-the-consistency-of-the-system-of-equations-x-y-z-7-x-2y-3z-18-y-2z-6