Systems of linear equations: System of linear equations and matrices
Systems with a parameter
Consider the following set of linear equations with unknowns \(x\) and \(y\) at different values of the parameter \(a\). \[\left\{\begin{aligned}\phantom{2}x+3 y &=0\\ 2x+ay &=4\end{aligned}\right.\]
- For what value of \(a\) is there no solution?
- If the system is solvable, what is the solution?
| 1. For \(a=\;{}\) | \(\phantom{x}\) there is no solution. |
| 2. If the system solvable, then the solution is \(\cv{x\\y}=\;{}\) |
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