Consider the system of linear equations in x, y, and z:
`(sin 3 theta) x-y+z=0`
`(cos 2 theta) x+4y+3z=0`
`2x+7y+7z=0`
Which of the following can be the values of `theta` for which the system has a non-trivial solution ?

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0(cos2theta)x+4y+3z=0 3x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution npi+(-1)^npi/6,AAn in Z npi+(-1)^npi/3,AAn in Z npi+(-1)^npi/9,AAn in Z none of these

Consider the system linear equations in x ,y ,a n dz given by (sin3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0. the value of theta for which the system has a non-trivial solution : (A) theta = npi/2 (B) theta = (2n+1)pi/6 (C) theta = npi or npi + (-1)^n pi/6 (D) none of these

Consider the system of equations : x sintheta-2ycostheta-az=0 , x+2y+z=0 , -x+y+z=0 , theta in R

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

If x,y,z are not all simultaneously equal to zero, satisfying the system of (sin3 theta)x-y+z=0 and (cos2 theta)x+4y+3z=0 then the number of principal values of theta is

Solve system of linear equations, using matrix method, in questions 7 to 14. x-y+2z=7, 3x+4y-5z=-5, 2x-y+3z=12