The equation `[[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][[x ,y, z]] =[[0,0, 0]]` has `a` solution for `(x ,y ,z)` besides `(0,0,0)dot` Then the value of `k` is _______.

If [[1 1 1],[0 1 1],[0 0 1]] [[x],[y],[z]] = [[6],[3],[2]] ,then 2x+y-z=?

If the system of equation 14x-3y+z=12, x-2y=0 and x+2z=0 has a solution (x_(0), y_(0), z_(0)) , then the value of x_(0)^(2)+y_(2)^(2)+z_(2)^(2) is equal to

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\ y ,\ z .

The number of solutions of equations x + y - z=0, 3x - y - z= 0,x - 3y + z = 0 is

If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(_3)=(z-2)/a , then the value of a is

The greatest value of for which the system of linear equations x-cy-cz=0 cx-y+cz=0 cx+cy-z=0 Has a non-trivial solution, is 1/k . The value of k is _________.

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

If the following equations x+y-3z = 0, (1+lamda)x + (2+lamda) y - 8z = 0, x-(1+lamda)y + (2+lamda)z = 0 are consistent then the value of lamda is

If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z=