Chavez Cole
02/29/2024 · Senior High School
\( S \left\{ \begin{array} { r } { a x + b y + c z = d } \\ { a ^ { \prime } x + b ^ { \prime } y + c ^ { \prime } z = d ^ { \prime } } \\ { a ^ { \prime \prime } x + b ^ { \prime \prime } y + c ^ { \prime \prime } z = d ^ { \prime \prime } } \end{array} \right. \)
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Pour résoudre le système d'équations \( a x + b y + c z = d \), \( a' x + b' y + c' z = d' \), \( a'' x + b'' y + c'' z = d'' \), écrivez-le sous forme matricielle \( A \mathbf{X} = \mathbf{B} \), où \( A \) est la matrice des coefficients, \( \mathbf{X} \) les variables, et \( \mathbf{B} \) les constantes. Si le déterminant de \( A \) est non nul, le système a une solution unique. Utilisez la méthode de substitution ou d'élimination pour résoudre les équations et vérifiez la solution.
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