Linear Algebra Examples

$x + x + 3 x = 9$ , $5 x + 4 x + 3 x = - 6$

Step 1

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

$[\begin{array}{c} 5 \\ 12 \end{array}] \cdot [\begin{array}{c} x \end{array}] = [\begin{array}{c} 9 \\ - 6 \end{array}]$

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.

$x =$