Use Cramer’s Rule to Solve a $2\times 2$ System of Linear Equations
Problem 257
Use Cramer’s rule to solve the system of linear equations
\begin{align*}
3x_1-2x_2&=5\\
7x_1+4x_2&=-1.
\end{align*}
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Add to solve later Solving a System of Linear Equations By Using an Inverse Matrix
Problem 65
Consider the system of linear equations
\begin{align*}
x_1&= 2, \\
-2x_1 + x_2 &= 3, \\
5x_1-4x_2 +x_3 &= 2
\end{align*}
(a) Find the coefficient matrix and its inverse matrix.
(b) Using the inverse matrix, solve the system of linear equations.
(The Ohio State University, Linear Algebra Exam)
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