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Matrices: JEE Mains 2022 June 29 Shift 2

Hard· Operations on matrices· +4 / 0

Let

M=\begin{bmatrix}0&-\alpha\\ \alpha&0\end{bmatrix}

, where

\alpha

is a non-zero real number and

N=\displaystyle\sum_{k=1}^{49}M^{2k}

. If

(I-M^2)N=-2I

, then the positive integral value of

\alpha

is ______.

Your answer (numerical)

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