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Solve Each of the Following System of Homogeneous Linear Equations. 2x + 3y + 4z = 0 X + Y + Z = 0 2x − Y + 3z = 0 - Mathematics

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प्रश्न

Solve each of the following system of homogeneous linear equations.
2x + 3y + 4z = 0
x + y + z = 0
2x − y + 3z = 0

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उत्तर

\[D = \begin{vmatrix}2 & 3 & 4 \\ 1 & 1 & 1 \\ 2 & - 1 & 3\end{vmatrix} \] 
\[ = 2 (3 + 1) - 3 (3 - 2) + 4( - 1 - 2)\] 
\[ = 8 - 3 - 12\] 
\[ = - 7\] 
\[\text{ So, the given system of equations has only the trivial solution }i . e . x = 0, y = 0, z = 0\] 

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पाठ 6: Determinants - Exercise 6.5 [पृष्ठ ८९]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 6 Determinants
Exercise 6.5 | Q 2 | पृष्ठ ८९

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