Matrices and Determinants: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Morning shift · Q4655

JEE Main 202331 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

A = \left( {\matrix{ 1 & 0 & 0 \cr 0 & 4 & { - 1} \cr 0 & {12} & { - 3} \cr } } \right)

. Then the sum of the diagonal elements of the matrix

{(A + I)^{11}}

is equal to :

JEE Main 2023 · 31 Jan, Morning shift · Q4655

JEE Main 202331 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

A = \left( {\matrix{ 1 & 0 & 0 \cr 0 & 4 & { - 1} \cr 0 & {12} & { - 3} \cr } } \right)

. Then the sum of the diagonal elements of the matrix

{(A + I)^{11}}

is equal to :

More on Matrices and Determinants