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 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)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

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Solve system of linear equations, using matrix method, x - y + z = 4" " 2x + y - 3z = 0" " x + y + z = 2

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the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

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Using matrices, solve the following system of linear equations: x - y+2z=7 ; 3x+4y- 5z=-5 ; 2x - y+3z=12