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Matrices and Determinants question

2022 · 29 Jul · Shift 2 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2022 · 29 Jul · Shift 2 · Q38

Matrices and Determinants question

2022 · 29 Jul · Shift 2 · Q38

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

X=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]

and

A=\left[\begin{array}{ccc}-1 & 2 & 3 \\ 0 & 1 & 6 \\ 0 & 0 & -1\end{array}\right]

. For

\mathrm{k} \in N

, if

X^{\prime} A^{k} X=33

, then

\mathrm{k}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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