Question:

If \(AB=\begin{bmatrix} 4&3\\5&4 \end{bmatrix}\) and \(A^{-1}=\begin{bmatrix} 3&-2\\-1&1 \end{bmatrix}\), then B=

Updated On: Jun 10, 2024
  • \(\begin{bmatrix} 2&1\\1&2 \end{bmatrix}\)
  • \(\begin{bmatrix} 1&2\\2&1 \end{bmatrix}\)
  • \(\begin{bmatrix} 1&2\\1&1 \end{bmatrix}\)
  • \(\begin{bmatrix} 1&1\\1&2 \end{bmatrix}\)
  • \(\begin{bmatrix} 2&1\\1&1 \end{bmatrix}\)
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The Correct Option is

Solution and Explanation

The correct option is (E): \(\begin{bmatrix} 2&1\\1&1 \end{bmatrix}\)
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