Question

Using the inverse of a matrix solve the following system of equation. Give your answer as an ordered pair.

Answer 1

We will have the following:

`A=\mleft(\begin{array}{cc}3 & 7 \\ -1 & -1 \\ \end{array}\mright)\Rightarrow A^(-1)=\mleft(\begin{array}{cc}-(1)/(4) & -(7)/(4) \\ (1)/(4) & (3)/(4) \\ \end{array}\mright)`
`\Rightarrow X=(A^(-1))B\Rightarrow X=\mleft(\begin{array}{cc}-(1)/(4) & -(7)/(4) \\ (1)/(4) & (3)/(4) \\ \end{array}\mright)\mleft(\begin{array}{c}-4 \\ 2 \\ \end{array}\mright)`
`\Rightarrow X=\mleft(\begin{array}{c}-(5)/(2) \\ (1)/(2) \\ \end{array}\mright)`