C.
The equations
x + 2y + 3z = 12
x + y + 3z = 25
x + 5y + 9z = 4
have the unique solution
Have infinitely many solutions
are inconsistent
None of the above
x is one of the cube roots of unity
y is one of the cube roots of unity
is one of the cube roots - 1
Consider the set A of all matrices of order 3 x 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subset of A consisting of all matrices whose determinant is - 1. Then which one of the following is correct ?
C is empty
B as as many elements as C
B has thrice as many elements as C
denotes the absolute value of an integer, then which of the following are correct ?
Select the correct answer using the code given below :
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
The system of equations kx + y + z = 1, x + ky + z = kand x + y + kz = k has no solution if k equal
0
1
- 1
- 2