If A= [ array ll a & b b & a array ] and A^ 2 = [ array ll x & & x array ] , then
Mathematics · JEE Main · NTA Exams — Matrices 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
- \(\text { II }\) = a2 + b2 and \(\beta\) = ab
- \(\text { II }\) = a2 + b2 and \(\beta\) = 2ab
- \(\text { II }\) = a2 + b2 and \(\beta\) = a2 - b2
- \(\text { II }\) = 2ab and \(\beta\) = a2 + b2
Answer
(B) II = a 2 + b 2 and = 2ab
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