Mathematics · 2021
JEE Main · 18 March 2021, Shift 2 · Q82
Let I be an identity matrix of order 2 × 2 and P= [2, -1; 5, -3]. Then the value of n ∈ N for which P^n =5 I -8 P is equal to \ \ \ \.
Let I be an identity matrix of order $\displaystyle 2 \times 2$ and $\displaystyle P=\left[\begin{array}{cc}2 & -1 \\ 5 & -3\end{array}\right]$. Then the value of $\displaystyle \mathrm{n} \in \mathbf{N}$ for which $\displaystyle \mathrm{P}^{\mathrm{n}}=5 \mathrm{I}-8 \mathrm{P}$ is equal to \_\_\_\_.
Official answer
6
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