Let A = [ x 1 1 0 ], x R and A⁴ = [a i j]. If a₁₁ = 109, then a₂₂ is equal to _ _ _ _.

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Morning shift · Q31

JEE Main 20203 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A =

\left[ {\matrix{ x & 1 \cr 1 & 0 \cr } } \right]

, x

\in

R and A⁴ = [a_ij]. If a₁₁ = 109, then a₂₂ is equal to _______ .

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 · 3 Sep, Morning shift · Q31

JEE Main 20203 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A =

\left[ {\matrix{ x & 1 \cr 1 & 0 \cr } } \right]

, x

\in

R and A⁴ = [a_ij]. If a₁₁ = 109, then a₂₂ is equal to _______ .

Your answerType your answer. Integers and decimals are accepted.