JEE Main 202225 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let A=[1aa01b001],a,b∈RA=\left[\begin{array}{lll} 1 & a & a \\ 0 & 1 & b \\ 0 & 0 & 1 \end{array}\right], a, b \in \mathbb{R}A=100a10ab1,a,b∈R. If for some n∈N,An=[14821600196001]n \in \mathbb{N}, A^{n}=\left[\begin{array}{ccc} 1 & 48 & 2160 \\ 0 & 1 & 96 \\ 0 & 0 & 1 \end{array}\right]n∈N,An=10048102160961 then n+a+bn+a+bn+a+b is equal to ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
