A homogenous system of ' `3` ' equation with `'3'` unknowns `AX=0` has Unique solutions (Trivial solutions `x=y=z=0`) ,if

The homogeneous system AX=0of n linear equation in n variables has (A) a unique solutions if |A|!=0 (B) infinitely many solution if |A|=0 (C) no solution (D) none of these

The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a unique solution if

Check whether the given system of equations has Unique solution, No solution or Infinite solutions: {:(x - 3y = 3),(3x - 9y = 2):}

The system of equations x+py=0, y+pz=0 and z+px=0 has infinitely many solutions for

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions. Find the solution.

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 2x-y+3z=0 7x+lambday-z=0 has non-trivial solutions. Find the solution.

Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has no non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: x-3y=3,\ \ \ \ 3x-9y=2

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: 3x-5y=20 ,\ \ \ 6x-10 y=40

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: 2x+y=5,\ \ \ \ 4x+2y=10