Find the inverse of the matrix A= [ array rrr 3 & -1 & -2 2 & 0 & -1 3 & -5 & 0 array ]
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Find the inverse of the matrix \[A=\left[\begin{array}{rrr}
3 & -1 & -2 \\
2 & 0 & -1 \\
3 & -5 & 0
\end{array}\right]\]
- \(\left[\begin{array}{ccc} -5 / 8 & 5 / 4 & 1 / 8 \\ -3 / 8 & 3 / 4 & -1 / 8 \\ -5 / 4 & 3 / 2 & 1 / 4 \end{array}\right]\)
- \(\left[\begin{array}{ccc} 5 / 8 & 5 / 4 & 1 / 8 \\ -3 / 8 & -3 / 4 & -1 / 8 \\ 5 / 4 & 3 / 2 & 1 / 4 \end{array}\right]\)
- \(\left[\begin{array}{ccc} -2 / 3 & 5 / 4 & 1 / 6 \\ -3 / 8 & 3 / 4 & -1 / 6 \\ -5 / 4 & 3 / 2 & 1 / 4 \end{array}\right]\)
- None of these
Answer
(A) [ array ccc -5 / 8 & 5 / 4 & 1 / 8 -3 / 8 & 3 / 4 & -1 / 8 -5 / 4 & 3 / 2 & 1 / 4 array ]
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