Recent questions tagged system-of-equations

Given:\[\left[\begin{array}{lll}1 & 1 & 1 \\1 & 0 & 2\end{array}\right]\left\{\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right\}=\left\{\begin{array}{l}0 \\0\end{ar...

Consider the system of equations$$\begin{bmatrix}1&3&2 \\2&2&-3 \\ 4&4&-6 \\ 2&5&2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 1 \\ 1 ...

Consider the following simultaneous equations (with $c_1$ and $c_2$ being constants):$3x_1+2x_2=c_1$$4x_1+x_2=c_2$The characteristic equation for these simultaneous equat...

Consider the following linear system.$x+2y-3z=a$$2x+3y+3z=b$$5x +9y-6z=c$This system is consistent if $a, b$ and $c$ satisfy the equation$7a-b-c=0$$3a+b-c=0$$3a-b+c=0$$7a...

For what value of $p$ the following set of equations will have no solution?$2x+3y=5$$3x+py=10$