Algebra Examples

$[\begin{array}{c} 3 g & h^{2} \\ 4 & - 2 f \end{array}] = [\begin{array}{c} - 12 & 81 \\ 4 & 3 f \end{array}]$

Step 1

Write as a linear system of equations.

$3 g = - 12$

$h^{2} = 81$

$4 = 4$

$- 2 f = 3 f$

Step 2

Since $4 = 4$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.