If A= [ array ll a & b b & a array ] and A^ 2 = [ array ll x & & x array ] , then

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If \(A=\left[\begin{array}{ll} a & b \\ b & a \end{array}\right] \text { and } A^{2}=\left[\begin{array}{ll} x & \beta \\ \beta & x \end{array}\right]\),  then
  1. \(\text { II }\) = a2 + b2 and \(\beta\) = ab
  2. \(\text { II }\) = a2 + b2 and \(\beta\) = 2ab
  3. \(\text { II }\) = a2 + b2 and \(\beta\) = a2 - b2
  4. \(\text { II }\) = 2ab and \(\beta\) = a2 + b2

Answer

(B) II = a 2 + b 2 and = 2ab

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