Question:

If A is non-singular matrix and if \(A^{-1}=\frac{1}{2}\begin{bmatrix} -10&-4\\2&1\end{bmatrix}\), then adj(A)=

Updated On: Sep 11, 2024
  • \(\begin{bmatrix} -1&-4\\2&10\end{bmatrix}\)
  • \(\begin{bmatrix} 10&4\\-2&-1\end{bmatrix}\)
  • \(\begin{bmatrix} 1&4\\-2&-10\end{bmatrix}\)
  • \(\begin{bmatrix} -10&-4\\2&1\end{bmatrix}\)
  • \(\begin{bmatrix} -1&-4\\10&2\end{bmatrix}\)
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The Correct Option is B

Solution and Explanation

The correct option is (B) : \(\begin{bmatrix} 10&4\\-2&-1\end{bmatrix}\)
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