The system of equations x + y + z = 6, 2x + y + z = 7, x + 2 y + z = 8 has a. A unique solution b. No solution c. An infinite number of solutions d. None of these
x + y + z = 6, 2x + y + z = 7, x + 2 y + z =
8
Ax = b has a unique solution if and only if rank[A] = rank[A|b] = n where n is number of unknown variables
x + y + z = 6, 2x+ y +z = 7, x + 2 y +z = 8
we can also find it using Rank
rank[A] = rank[A|b] = 3
hence unique solution
Option a