Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q41

JEE Main 202127 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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

and M = A + A² + A³ + ....... + A²⁰, then the sum of all the elements of the matrix M is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 27 Jul, Evening shift · Q41

JEE Main 202127 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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

and M = A + A² + A³ + ....... + A²⁰, then the sum of all the elements of the matrix M is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

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