P= ((1,-1),(2,3)) হলে P² = ?

Explanation:

Another Explanation (5): P= \(\begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix}\) \(P^2 = P \times P\) \(P^2 = \begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix} \times \begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix}\) এখন, ম্যাট্রিক্স গুণ করার নিয়ম অনুসারে: \(P^2 = \begin{pmatrix} (1 \times 1 + (-1) \times 2) & (1 \times (-1) + (-1) \times 3) \\ (2 \times 1 + 3 \times 2) & (2 \times (-1) + 3 \times 3) \end{pmatrix}\) \(P^2 = \begin{pmatrix} (1 - 2) & (-1 - 3) \\ (2 + 6) & (-2 + 9) \end{pmatrix}\) \(P^2 = \begin{pmatrix} -1 & -4 \\ 8 & 7 \end{pmatrix}\) সুতরাং, \(P^2 = \begin{pmatrix} -1 & -4 \\ 8 & 7 \end{pmatrix}\) 🥳🥳