Tag: applications of matrices and determinants
Questions Related to applications of matrices and determinants
If $A,B,C$ are the angles of a triangle, the system of equations, $(\sin A)x+y+z=\cos Ax+(\sin B)y+z=\cos B$
$x+y+(\sin C)z=1-\cos C$ has
The number of solutions of the equation $3x+3y-z=5,\ x+y+z=3,\ 2x+2y-z=3$
If the system of equation $x-ky-z=0,kx-y-z=0,x+y-z$ has a non-zero solution, the possible values of $k$ are
The straight lines
$\left.\begin{matrix}
2kx-2y+3=0\
x+ky+2=0\
2x+k=0
\end{matrix}\right}k\in R$ pass through the same point for
The system of equations
\begin{matrix}kx +y+z=1& & \
x+ky+z=k& & \
x+y+kz=k^{2}& &
\end{matrix}$
have no solution,if k equals ?
Find the real value of $r$ for which the following system of linear equation has a non-trivial solution $2rx-2y+3z=0$$x+ry+2z=0$$2x+rz=0$
The number of solutions of the system of equations $2x+y-z=7 , x-3y-2z=1 , x+4y-3z=5,$ are
The system of equations
$\displaystyle x + y + z = 2$
$\displaystyle 2x - y + 3z = 5$
$\displaystyle x - 2y - z + 1 = 0$
written in matrix form is
If the following system of equations possess a non-trivial solution over the set of rationals
$x + ky + 3z = 0$
$3x + ky - 2z = 0$
$2x + 3y - 4z = 0$,
then x,y,z are in the ratio
If the system of equations $ax+by+c=0$ $bx+cy+a=0$ ,$cx+ay+b=0$ has a solution then the system of equations $(b+c)x+(c+a)y+(a+b)z=0$ ,$(c+a)x+(a+b)y+(b+c)z=0$ , $(a+b)x+(b+c)y+(c+a)z=0$ has