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Matrices and Determinants question

2023 · 11 Apr · Shift 1 · Q41

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JEE Main
Mathematics
Matrices and Determinants
2023 · 11 Apr · Shift 1 · Q41

Matrices and Determinants question

2023 · 11 Apr · Shift 1 · Q41

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

A=\left[\begin{array}{lll}0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0\end{array}\right]

, where

a, c \in \mathbb{R}

. If

A^{3}=A

and the positive value of

a

belongs to the interval

(n-1, n]

, where

n \in \mathbb{N}

, then

n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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