TS EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 3 & 2 \\ 3 & 4 & 5\end{array}\right]\) then \(\left(A+A^T\right)\left(A-A^T\right)=\)
- A \(4\left[\begin{array}{lll}3 & 2 & -3 \\ 3 & 0 & -3 \\ 3 & 2 & -3\end{array}\right]\)
- B \(\left[\begin{array}{lll}12 & 8 & 12 \\ 12 & 0 & 12 \\ 12 & 8 & 12\end{array}\right]\)
- C \(4\left[\begin{array}{ccc}3 & -2 & -3 \\ 3 & 0 & -3 \\ 3 & -2 & -3\end{array}\right]\)
- D \(\left[\begin{array}{lll}-12 & 8 & 12 \\ -12 & 0 & 12 \\ -12 & 8 & 12\end{array}\right]\)
Answer & Solution
Correct Answer
(A) \(4\left[\begin{array}{lll}3 & 2 & -3 \\ 3 & 0 & -3 \\ 3 & 2 & -3\end{array}\right]\)
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Detailed explanation
Given \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 3 & 2 \\ 3 & 4 & 5\end{array}\right]\)…
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