Linear Algebra Examples

$288 = 75 x + 85 x$ , $288 = 100 x$

Step 1

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

$[\begin{array}{c} - 160 \\ - 100 \end{array}] \cdot [\begin{array}{c} x \end{array}] = [\begin{array}{c} - 288 \\ - 288 \end{array}]$

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.

$x =$