143k views
5 votes
Using the inverse of a matrix solve the following system of equation. Give your answer as an ordered pair.

Using the inverse of a matrix solve the following system of equation. Give your answer-example-1
User Pescolino
by
8.3k points

1 Answer

7 votes

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)

User Abderazak Amiar
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories