Question

In Cramer’s Rule, if the value of the determinant is zero, what must be true of the graph of the system of equations represented by the determinant? Give examples to support your answer.

Short answer

There will be no common point between the graphs of those equations which are having determinant as 0.

Step-by-step solution

Step 1- Write the example

Take the following system of equations because the denominator for this system of equations is 0.

$\begin{array}{l}2m-n+3o=5\\ 3m+2n-5o=4\\ m-4n+11o=3\end{array}$

– Make the graph of the system of equations   

Use the provided equations make the graph that represent each equation.

Step 3- Make the conclusion

As the graph of the provided equations are not inserting at the same point which means that there will be no common point between the graphs of those equations which are having determinant as 0.