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Matrices and Determinants question

2022 · 24 Jun · Shift 2 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2022 · 24 Jun · Shift 2 · Q38

Matrices and Determinants question

2022 · 24 Jun · Shift 2 · Q38

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

S = \left\{ {\left( {\begin{matrix} { - 1} & a \\ 0 & b \\ \end{matrix} } \right);a,b \in \{ 1,2,3,....100\} } \right\}

and let

{T_n} = \{ A \in S:{A^{n(n + 1)}} = I\}

. Then the number of elements in

\bigcap\limits_{n = 1}^{100} {{T_n}}

is

\underline{\hspace{2cm}}

.

Numerical answer

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