Ensembles finis Exemples

⎡ ⎢ ⎣ \begin{matrix} 1 & x y & - 2 2 & z \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 5 & - 2 - 3 & 4 \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} 1 & x \\ y & - 2 \\ 2 & z \end{array}] = [\begin{array}{c} 1 & 2 \\ 5 & - 2 \\ - 3 & 4 \end{array}]$

Étape 1

Write as a linear system of equations.

1 = 1

$1 = 1$

x = 2

$x = 2$

y = 5

$y = 5$

- 2 = - 2

$- 2 = - 2$

2 = - 3

$2 = - 3$

z = 4

$z = 4$

Étape 2

Since

2 \neq - 3

$2 \neq - 3$ , the matrix equation has no solution.

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