الجبر الخطي الأمثلة

$[\begin{array}{c} - 3 & - 2 x \\ y & 6 \end{array}] = [\begin{array}{c} - 3 & - 12 \\ - 6 & 6 \end{array}]$

خطوة 1

Write as a linear system of equations.

$- 3 = - 3$

$- 2 x = - 12$

$y = - 6$

$6 = 6$

خطوة 2

Since $6 = 6$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.