A= [[1, 0, -2] ,[3, -2, -1]] এবং B = [[-1, 3] ,[4, 0], [2, 6]]  হলে AB=?

Explanation:

Another Explanation (5): bài giải: \(A= \begin{bmatrix} 1 & 0 & -2 \\ 3 & -2 & -1 \end{bmatrix}\) \(B= \begin{bmatrix} -1 & 3 \\ 4 & 0 \\ 2 & 6 \end{bmatrix}\) \(AB = \begin{bmatrix} 1 & 0 & -2 \\ 3 & -2 & -1 \end{bmatrix} \begin{bmatrix} -1 & 3 \\ 4 & 0 \\ 2 & 6 \end{bmatrix}\) এখন, ম্যাট্রিক্স গুণ করার নিয়ম অনুযায়ী: \(AB = \begin{bmatrix} (1 \times -1 + 0 \times 4 + -2 \times 2) & (1 \times 3 + 0 \times 0 + -2 \times 6) \\ (3 \times -1 + -2 \times 4 + -1 \times 2) & (3 \times 3 + -2 \times 0 + -1 \times 6) \end{bmatrix}\) \(AB = \begin{bmatrix} (-1 + 0 - 4) & (3 + 0 - 12) \\ (-3 - 8 - 2) & (9 + 0 - 6) \end{bmatrix}\) \(AB = \begin{bmatrix} -5 & -9 \\ -13 & 3 \end{bmatrix}\) সুতরাং, \(AB = \begin{bmatrix} -5 & -9 \\ -13 & 3 \end{bmatrix}\) 🥳🥳