JEE Main 202224 Jun, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let S={(−1a0b);a,b∈{1,2,3,....100}}S = \left\{ {\left( {\matrix{ { - 1} & a \cr 0 & b \cr } } \right);a,b \in \{ 1,2,3,....100\} } \right\}S={(−10ab);a,b∈{1,2,3,....100}} and let Tn={A∈S:An(n+1)=I}{T_n} = \{ A \in S:{A^{n(n + 1)}} = I\}Tn={A∈S:An(n+1)=I}. Then the number of elements in ⋂n=1100Tn\bigcap\limits_{n = 1}^{100} {{T_n}}n=1⋂100Tn is ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
