الرياضيات المتناهية الأمثلة

$[\begin{array}{c} 4 & - 3 \\ 6 & 4 \\ - 10 & 0 \end{array}] = [\begin{array}{c} 4 & w \\ 6 & 4 \\ - 10 & 0 \end{array}]$

خطوة 1

Write as a linear system of equations.

$4 = 4$

$- 3 = w$

$6 = 6$

$4 = 4$

$- 10 = - 10$

$0 = 0$

خطوة 2

Since $0 = 0$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying $- 3 = w$ .