Algebra Examples

$[\begin{array}{c} d & 3 \\ e & 1 \end{array}] + [\begin{array}{c} 2 & f \\ 2 & g \end{array}] = [\begin{array}{c} 5 & 3 \\ 1 & 2 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} d + 2 & 3 + f \\ e + 2 & 1 + g \end{array}] = [\begin{array}{c} 5 & 3 \\ 1 & 2 \end{array}]$

Step 2

Write as a linear system of equations.

$d + 2 = 5$

$3 + f = 3$

$e + 2 = 1$

$1 + g = 2$

Step 3

Since $e + 2 \neq 1$ , the matrix equation has no solution.

No solution