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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Consider the system of equations : \(x + ay = 0\), \(y + az = 0\) and \(z + ax = 0\). Then the set of all real values of \('a'\) for which the system has a unique solution is
- A \(R - \left\{ 1 \right\}\)
- B \(R - \left\{ -1 \right\}\)
- C \(\left\{ {1, - 1} \right\}\)
- D \(\left\{ {1,0, - 1} \right\}\)
Answer & Solution
Correct Answer
(B) \(R - \left\{ -1 \right\}\)
Step-by-step Solution
Detailed explanation
Given system of equations is homogeneous which is \(x + ay = 0\) \(y + az = 0\) \(z + ax = 0\) It can be written inmatrix from as \(A = \left[ {\begin{array}{*{20}{c}} 1&a&0\\ 0&1&a\\ a&0&1 \end{array}} \right]\) Now,…
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