Consider the system of equations : `x + ay = 0, y + az = 0` and `z + ax=0`. Then the set of all real values of 'a' for which the system has a unique solution is :

Consider the system of equaitons: x+ay=0, y+az=0 and z+ax=0 . Then the set of all real values of 'a' for which the system has a unique solution is :

Consider the system of equations x+a y=0,\ y+a z=0\,z+a x=0.\ Then the set of all real values of ' a ' for which the system has a unique solution is: {1,\ -1} b. \ R-{-1} c. \ {1,\ 0,\ -1} d. R-{1}

Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of all real values of ' a ' for which the system has a unique solution is: {1,\ -1} b. \ R-{-1} c. \ {1,\ 0,\ -1} d. R-{1}

Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of all real values of ' a ' for which the system has a unique solution is: {1,\ -1} b. \ R-{-1} c. \ {1,\ 0,\ -1} d. R-{1}

The value of a for which the system of equation 6x-y=2 , ax-2y=3 has a unique solution

Consider the system of linear equations - x + y + 2z = 0 3x - ay + 5z = 1 2x - 2y - az = 7 Let S_1 be the set of all a in R for which the system is inconsistent and S_2 be the set of all a in R for which the system has infinitely many solutions. If n(S_1) and n(S_2) denote the number of elements in S_1 and S_2 respectively, then

Consider the system of linear equations - x + y + 2z = 0 3x - ay + 5z = 1 2x - 2y - az = 7 Let S_1 be the set of all a in R for which the system is inconsistent and S_2 be the set of all a in R for which the system has infinitely many solutions. If n(S_1) and n(S_2) denote the number of elements in S_1 and S_2 respectively, then

If the system of equations x+a y=0, a z+y=0 and a x+z=0 has infinite solutions, then the value of a is

The system of equations ax + y + z = 0 , -x + ay + z = 0 and - x - y + az = 0 has a non-zero solution if the real value of 'a' is