If the system of homogeneous equation x+a y=0, a z+y=0 and a x+z=0 has infinite number of…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If the system of homogeneous equation \(x+a y=0, a z+y=0\) and \(a x+z=0\) has infinite number of solutions, then the value of a is
  1. - 1
  2. 1
  3. 0
  4. No real values

Answer

(A) - 1

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