AP EAMCET · Maths · Determinants
The number of non-trivial solutions of the system
\(x-y+z=0, x+2 y-z=0, \quad 2 x+y+3 z=0\)
is
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
Write given system of equations in matrix form \(A X=B\). \(\left[\begin{array}{ccc}1 & -1 & 1 \\ 1 & 2 & -1 \\ 2 & 1 & 3\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right]\) Now,…
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