Algebra Examples

$[\begin{array}{c} 2 x - 1 & 0 \\ 1 & - 3 \end{array}] = [\begin{array}{c} 5 & 0 \\ 1 & - 3 \end{array}]$

Step 1

Write as a linear system of equations.

$2 x - 1 = 5$

$0 = 0$

$1 = 1$

$- 3 = - 3$

Step 2

Since $- 3 = - 3$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying $2 x - 1 = 5$ .