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सी. बी. एस. ई.वाणिज्य (इंग्रजी माध्यम) इयत्ता १२

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अभ्यासक्रम

Consider the System of Equations: A1x + B1y + C1z = 0 A2x + B2y + C2z = 0 A3x + B3y + C3z = 0, - Mathematics

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प्रश्न

Consider the system of equations:
a₁x + b₁y + c₁z = 0
a₂x + b₂y + c₂z = 0
a₃x + b₃y + c₃z = 0,
if $| \begin{matrix} a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3} \end{matrix} |$ = 0, then the system has

पर्याय

more than two solutions
one trivial and one non-trivial solutions
no solution
only trivial solution (0, 0, 0)

MCQ

उत्तर

(a) more than two solutions
Here,
$| A | = 0 and B = 0 (Given)$
$If | A | = 0 and (a d j A) B = 0, then the system is consistent and has infinitely many solutions.$
Clearly, it has more than two solutions.

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Applications of Determinants and Matrices

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 8: Solution of Simultaneous Linear Equations - Exercise 8.4 [पृष्ठ २२]

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आरडी शर्मा Mathematics [English] Class 12

पाठ 8 Solution of Simultaneous Linear Equations
Exercise 8.4 | Q 6 | पृष्ठ २२

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