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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant

શ્રેણીક \(A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\), કે જ્યાં  \(a , b, c, d \in\{-1,0,1,2,3, \ldots \ldots, 10\}\), કે જેથી  \(A=A^{-1}\) થાય તેવા શ્રેણીકોની  સંખ્યા મેળવો 

  1. A \(51\)
  2. B \(52\)
  3. C \(53\)
  4. D \(50\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(50\)

Step-by-step Solution

Detailed explanation

\(A =\left[\begin{array}{ll} a & b \\ c & d \end{array}\right]\) Given \(A = A ^{-1}\) \(\therefore A ^{2}= A \cdot A ^{-1}= I\)…
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