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TS EAMCET · Maths · Matrices

\(A, B, C, D\) are square matrices such that \(A+B\) is symmetric, \(A-B\) is skew-symmetric and \(D\) is the transpose of \(C\).
If \(A=\left[\begin{array}{ccc}-1 & 2 & 3 \\ 4 & 3 & -2 \\ 3 & -4 & 5\end{array}\right]\) and \(C=\left[\begin{array}{ccc}0 & 1 & -2 \\ 2 & -1 & 0 \\ 0 & 2 & 1\end{array}\right]\), then the matrix \(B+D=\)

  1. A \(\left[\begin{array}{ccc}-1 & 6 & 3 \\ 6 & 2 & -2 \\ 3 & -2 & 6\end{array}\right]\)
  2. B \(\left[\begin{array}{ccc}-1 & 6 & 3 \\ 3 & 2 & -2 \\ 1 & -2 & 6\end{array}\right]\)
  3. C \(\left[\begin{array}{ccc}3 & 2 & -2 \\ 2 & 6 & 3 \\ -2 & 3 & 2\end{array}\right]\)
  4. D \(\left[\begin{array}{ccc}1 & -2 & 6 \\ -2 & 3 & 2 \\ 6 & 2 & 1\end{array}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\left[\begin{array}{ccc}-1 & 6 & 3 \\ 3 & 2 & -2 \\ 1 & -2 & 6\end{array}\right]\)

Step-by-step Solution

Detailed explanation

Let \(B=\left[\begin{array}{lll}a & b & c \\ d & e & f \\ g & h & i\end{array}\right]\)…
From TS EAMCET
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