Recent questions tagged system-of-linear-equations

The number of non trivial solutions of the system $x-y+z=0,x+2y-z=0,2x+y+3z=0$ is

asked Apr 25, 2014 by sreemathi.v

1 answer

The values of $\lambda$ and $\mu$ for which the equations $x+y+z=3,x+3y+2z=6,x+\lambda y+3z=\mu$ have

asked Apr 25, 2014 by sreemathi.v

1 answer

If the system of linear equations :$x+2ay+az=0,x+3by+bz=0,x+4cy+cz=0$ has a zero solutions then $a,b,c$

asked Apr 24, 2014 by sreemathi.v

1 answer

If $x^ay^b=e^m,x^cy^d=e^n$ $\Delta_1=\begin{vmatrix}m&b\\n&d\end{vmatrix}$,$\Delta_2=\begin{vmatrix}a&m\\c&n\end{vmatrix}$,$\Delta_3=\begin{vmatrix}a&b\\c&d\end{vmatrix}$ then the values of $x$ and $y$ are respectively

asked Apr 23, 2014 by sreemathi.v

1 answer

The number of solutions of the system of equations $2x+y-z=7,x-3y+2z=1,x+4y-3z=5$ is

asked Apr 23, 2014 by sreemathi.v

1 answer

The value of a for which the system of equations $a^3x+(a+1)^3y+(a+2)^3z=0,ax+(a+1)y+(a+2)z=0,x+y+z=0$ has a non-zero solution is

asked Apr 23, 2014 by sreemathi.v

1 answer

If the system of equations $x+ay+az=0,bx+y+bz=0$ and $cx+cy+z=0$ where $a,b,c$ are non-zero ,non unity has a non-trivial solution then the value of $\large\frac{a}{1-a}+\frac{b}{1-b}+\frac{c}{1-c}$ is

asked Apr 22, 2014 by sreemathi.v

1 answer

If the system of equations $x+2y-3z=1$, $(p+2)z=3$, $(2p+1)y+z=2$ is inconsistent, then the value of $p$ is

asked Nov 26, 2013 by sreemathi.v

1 answer

If the system of equations $ax+y+z=0$, $x+by+z=0$, $x+y+cz=0$, where $(a,b,c\neq 1)$ has a non-trivial solutions, then the value of $\large\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}$ is

asked Nov 26, 2013 by sreemathi.v

1 answer

If $x,y,z$ are different from zero and $\Delta =\begin{vmatrix}a&b-y&c-z\\a-x&b&c-z\\a-x&b-y&c\end{vmatrix}=0$ then the value of the expression $\large\frac{a}{x}+\frac{b}{y}+\frac{c}{z}$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

Let $a,b,c$ be any real numbers. Suppose that there are real numbers $x,y,z$ not all zero. Such that $x=cy+bz,y=az+cx,z=bx+ay$. Then $a^2+b^2+2abc$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

If $a^2+b^2+c^2=-2$ and $f(x)=\small\begin{vmatrix}1+a^2x&(1+b^2)x&(1+c^2)x\\(1+a^2)x&1+b^2x&(1+c^2)x\\(1+a^2)x&(1+b^2)x&1+c^2x\end{vmatrix}$ then $f(x)$ is a polynomial of degree

asked Nov 22, 2013 by sreemathi.v

1 answer

The system of equations $\alpha x+y+z=\alpha-1$, $x+\alpha y+z=\alpha-1$, $x+y+\alpha z=\alpha-1$ has infinite solutions if $\alpha$ is

asked Nov 22, 2013 by sreemathi.v

1 answer

Let $a,b,c$ be the real numbers. Then the following system of equations in $x,y$ and $z$: $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$, $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$, $\large\frac{-x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$ has

asked Nov 21, 2013 by sreemathi.v

1 answer

Let $p\lambda^4+q\lambda^3+r\lambda^2+s\lambda+t$ = $\begin{vmatrix}\lambda^3+3\lambda&\lambda-1&\lambda+3\\\lambda+1&-2\lambda&\lambda-4\\\lambda-3&\lambda+4&3\lambda\end{vmatrix}$ be an identity in $\lambda$ where $p,q,r,s$ and $t$ are constant. Then the value of $t$ is

asked Nov 21, 2013 by sreemathi.v

1 answer

Given : $2x-y+2z=2,x-2y+z=-4,x+y+\lambda z=4$ then the value of $\lambda$ such that the given system of equation has No solution is

asked Nov 20, 2013 by sreemathi.v

1 answer

If the system of equations $x+ay=0,az+y=0$ and $ax+z=0$ has infinite solution then the value of a is

asked Nov 20, 2013 by sreemathi.v

1 answer

The number of values of k for which the system of equations $(k+1)x+8y=4k,kx+(k+3)y=3k-1$ has infinitely many solutions is

asked Nov 20, 2013 by sreemathi.v

1 answer

If the system of equations :$x-ky-z=0,kx-y-z=0,x+y-z=0$ has a non zero solutions then the possible value of k are

asked Nov 20, 2013 by sreemathi.v

1 answer

The solution set of the equation $\begin{vmatrix}1 &4&20\\1 &-2&5\\1 &2x&5x^2\end{vmatrix}=0$ is

asked Nov 19, 2013 by sreemathi.v

1 answer

The system of equations $\lambda x+y+z=0$, $-x+\lambda y+z=0$, $-x-y+\lambda z=0$ will have a non-zero solutions if real values of $\lambda$ are given by

asked Nov 19, 2013 by sreemathi.v

1 answer

Find the value of $\lambda$ for which the set of equations $x+y-2z=0$, $2x-3y+z=0$, $x-5y+4z=\lambda$ are consistent.

asked Nov 19, 2013 by sreemathi.v

1 answer

For what value of $k$ do the following homogeneous system of equations posses a non-trivial.$x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0$

asked Nov 19, 2013 by sreemathi.v

1 answer

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