JEE Main & Advanced
Mathematics
Determinants & Matrices
Question Bank
System of linear equations, Some special determinants, differentiation and integration of determinants
question_answer
If \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}z=0,{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}z=0\] \[{{a}_{3}}x+{{b}_{3}}y+{{c}_{3}}z=0\] and \[\left| \,\begin{matrix} {{a}_{1}} & {{b}_{1}} & {{c}_{1}} \\ {{a}_{2}} & {{b}_{2}} & {{c}_{2}} \\ {{a}_{3}} & {{b}_{3}} & {{c}_{3}} \\ \end{matrix}\, \right|=0,\]then the given system has [Roorkee 1990]