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List of top Mathematics Questions on Invertible Matrices

Which of the following matrices can NOT be obtained from the matrix \(\begin{bmatrix} -1 &2 \\ 1 & -1 \end{bmatrix}\) by a single elementary row operation?

JEE Main - 2022
JEE Main
Mathematics
Invertible Matrices

If matrix
\[ A = \begin{bmatrix} 3 & -2 & 4 \\ 1 & 2 & -1 \\ 0 & 1 & 1 \end{bmatrix}, \quad \text{and} \quad A^{-1} = \frac{1}{k} \, \text{adj}(A), \]
then \(k\) is:

BITSAT - 2018
BITSAT
Mathematics
Invertible Matrices

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