Linear Algebra Examples

$- 3 x + 5 x = - 14$ , $- 3 x + 2 x = 7$

Step 1

Find the $A X = B$ from the system of equations.

$[\begin{array}{c} 2 \\ - 1 \end{array}] \cdot [\begin{array}{c} x \end{array}] = [\begin{array}{c} - 14 \\ 7 \end{array}]$

Step 2

Left multiply both sides of the matrix equation by the inverse matrix.

Step 3

Any matrix multiplied by its inverse is equal to $1$ all the time. $A \cdot A^{- 1} = 1$ .

Step 4

Simplify the left and right side.

$[\begin{array}{c} x \end{array}] =$

Step 5

Find the solution.

$x =$