JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(A=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]\) and \(B=\left[\begin{array}{ccc}9^{2} & -10^{2} & 11^{2} \\ 12^{2} & 13^{2} & -14^{2} \\ -15^{2} & 16^{2} & 17^{2}\end{array}\right]\), then the value of \(A ^{\prime} BA\) is.
- A \(1224\)
- B \(1042\)
- C \(540\)
- D \(539\)
Answer & Solution
Correct Answer
(D) \(539\)
Step-by-step Solution
Detailed explanation
\(A ^{\prime} BA =\left[\begin{array}{lll}1 & 1 & 1\end{array}\right]\left[\begin{array}{lrc}9^{2} & -10^{2} & 11^{2} \\ 12^{2} & 13^{2} & -14^{2} \\ -15^{2} & 16^{2} & 17^{2}\end{array}\right]\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]\)…
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