if the system of equations has a non – trivial solution, then =

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true 2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true 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 non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

Find the real values of r for which the following system of linear equations has a non-trivial solu- tions. Also find the non-trivial solutions 2rx – 2y + 3z = 0 x + r y + 2z = 0 2x + r z = 0

The system of equations AX=D has unique solution if

Find the real values of lambda for which the following system of linear equations has non- trivial solutions.Also,find the non-trivial solutions.2 lambda x-2y+3z=0x+lambda y+2z=02x+lambda z=0

Which of the following system of equations has unique solutions

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If the system of equations x + ay + az = 0 bx + y + bz = 0 cx + cy + z = 0 where a, b and c are non-zero non-unity, has a non-trivial solution, then value of (a)/(1 -a) + (b)/(1- b) + (c)/(1 -c) is