AP EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ccc}1 & 2 & 3 \\ 1 & 1 & 1 \\ 1 & -1 & 1\end{array}\right], B=\left[\begin{array}{lll}1 & 1 & 0 \\ 0 & 1 & 3 \\ 3 & 0 & 4\end{array}\right]\), \(C=\left[\begin{array}{lll}2 & 0 & 1 \\ 0 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]\), then \(\left(\left(\left((A B C)^{-1}\right)^T\right)^{-1}\right)^T=\)
- A \(\left[\begin{array}{ccc}64 & 39 & 28 \\ 29 & 16 & 11 \\ 11 & 2 & 5\end{array}\right]\)
- B \(\left[\begin{array}{ccc}63 & 39 & 20 \\ 29 & 16 & 11 \\ 10 & 2 & 5\end{array}\right]\)
- C \(\left[\begin{array}{ccc}64 & 39 & 27 \\ 28 & 15 & 11 \\ 11 & 2 & 5\end{array}\right]\)
- D \(\left[\begin{array}{ccc}61 & 39 & 28 \\ 29 & 16 & 11 \\ 11 & 0 & 5\end{array}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\begin{array}{ccc}64 & 39 & 28 \\ 29 & 16 & 11 \\ 11 & 2 & 5\end{array}\right]\)
Step-by-step Solution
Detailed explanation
Given matrices \(A=\left[\begin{array}{ccc}1 & 2 & 3 \\ 1 & 1 & 1 \\ 1 & -1 & 1\end{array}\right], B=\left[\begin{array}{lll}1 & 1 & 0 \\ 0 & 1 & 3 \\ 3 & 0 & 4\end{array}\right]\)…
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