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Matrices and Determinants question

2022 · 25 Jun · Shift 2 · Q37
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Matrices and Determinants question

2022 · 25 Jun · Shift 2 · Q37

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
Let A=(2−21−1)A = \left( {\begin{matrix} 2 & { - 2} \\ 1 & { - 1} \\ \end{matrix} } \right)A=(21​−2−1​) and B=(−12−12)B = \left( {\begin{matrix} { - 1} & 2 \\ { - 1} & 2 \\ \end{matrix} } \right)B=(−1−1​22​). Then the number of elements in the set {(n, m) : n, m ∈\in∈ {1, 2, .........., 10} and nAn + mBm = I} is ‾\underline{\hspace{2cm}}​.
Numerical answer
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