Question

Solve system of linear equations, using matrix method.
5x+2y=3
3x+2y=5

Answer 1

The given system of equations can be written in the form of AX=B, where
A=$\begin{bmatrix}5&2\\\3&2\end{bmatrix}$,X=$\begin{bmatrix}x\\\y\end{bmatrix}$and B=$\begin{bmatrix}3\\\5\end{bmatrix}$.
Now, |A|=10-6=4≠0
Thus, A is non-singular.
Therefore, its inverse exists.