For how many value(s) of x in the closed interval [-4,-1] , is the matrix [ array ccc 3 &…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

For how many value(s) of x in the closed interval \([-4,-1]\), is the matrix \(\left[\begin{array}{ccc} 3 & -1+\mathbf{x} & 2 \\ 3 & -1 & \mathbf{x}+2 \\ \mathbf{x}+\mathbf{3} & -1 & 2 \end{array}\right]\) singular ?
  1. 2
  2. 0
  3. 3
  4. 1

Answer

(A) 2

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