Use matrix to solve the following system of equations
$x + y + z = 3$
$x + 2 y + 3 z = 4$
$2 x + 3 y + 4 z = 9$
If you think it has a solution write 1 otherwise write 0 ?

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Solution

$Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 2 & 3 2 & 3 & 4 \end{matrix} ∣ ∣ ∣ ∣ = 1 (8 - 9) - 1 (4 - 6) + 1 (3 - 4) = - 1 + 2 - 1 = 0$

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Similar questions

x + y + z = 3

x + 2 y + 3 z = 4

2 x + 3 y + 4 z = 7

x + 2 y + 3 z = 9; 2 x + 3 y + z = 4; 4 x + 5 y + 4 z = 15

2 x + 3 y + 3 z = 5, x - 2 y + z = - 4, 3 x - y - 2 z = 3.

x + 2 y + z = 7, x + 3 z = 11, 2 x - 3 y = 1

x + y + z

2 x + 3 y + 3 z = 5, x - 2 y + z = - 4, 3 x - y - 2 z = 3

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