Linear Algebra Examples

$[\begin{array}{c} 12 & 6 \\ 2 y - 1 & - 1.5 \end{array}] = [\begin{array}{c} 12 & 6 \\ - 8 & - 1.5 \end{array}]$

Step 1

Write as a linear system of equations.

$12 = 12$

$6 = 6$

$2 y - 1 = - 8$

$- 1.5 = - 1.5$

Step 2

Since $- 1.5 = - 1.5$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying $2 y - 1 = - 8$ .