Algèbre linéaire Exemples

[\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

$[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$

Étape 1

Write as an augmented matrix for

A x = 0

$A x = 0$ .

[\begin{matrix} 1 & 0 & 0 0 & 1 & 0 \end{matrix}]

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \end{array}]$

Étape 2

Use the result matrix to declare the final solution to the system of equations.

x = 0

$x = 0$

y = 0

$y = 0$

Étape 3

Write a solution vector by solving in terms of the free variables in each row.

[\begin{matrix} x y \end{matrix}] = [\begin{matrix} 00 \end{matrix}]

$[\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 0 \\ 0 \end{array}]$

Étape 4

Write as a solution set.

{[\begin{matrix} 00 \end{matrix}]}

${[\begin{array}{c} 0 \\ 0 \end{array}]}$