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Matrices and Determinants question

2022 · 25 Jul · Shift 2 · Q39

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JEE Main
Mathematics
Matrices and Determinants
2022 · 25 Jul · Shift 2 · Q39

Matrices and Determinants question

2022 · 25 Jul · Shift 2 · Q39

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

A=\left[\begin{array}{lll} 1 & a & a \\ 0 & 1 & b \\ 0 & 0 & 1 \end{array}\right], a, b \in \mathbb{R}

. If for some

n \in \mathbb{N}, A^{n}=\left[\begin{array}{ccc} 1 & 48 & 2160 \\ 0 & 1 & 96 \\ 0 & 0 & 1 \end{array}\right]

then

n+a+b

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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