Linear Algebra Examples

$a \cdot 1 = 5000$ , $i = 0.12$ , $n = 10$

Step 1

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

$[\begin{array}{c} 1 & 0 \\ 0 & 0 \\ 0 & 1 \end{array}] \cdot [\begin{array}{c} a \\ n \end{array}] = [\begin{array}{c} 5000 \\ 0.12 - i \\ 10 \end{array}]$

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.

$[\begin{array}{c} a \\ n \end{array}] =$

Step 5

Find the solution.

$a =$

$n =$