Given,A=[(1),(2),(3)]  and AB=[[-1,2,1],[-2,4,2],[-3,6,3]] which one of the following is matrix B?

Explanation:

Another Explanation (5): ```html

সমাধান:

দেয়া আছে, \(A = \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}\) এবং \(AB = \begin{bmatrix} -1 & 2 & 1 \\ -2 & 4 & 2 \\ -3 & 6 & 3 \end{bmatrix}\) ধরি, \(B = \begin{bmatrix} x & y & z \end{bmatrix}\) তাহলে, \(AB = \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \begin{bmatrix} x & y & z \end{bmatrix} = \begin{bmatrix} x & y & z \\ 2x & 2y & 2z \\ 3x & 3y & 3z \end{bmatrix}\) এখন, \(AB = \begin{bmatrix} -1 & 2 & 1 \\ -2 & 4 & 2 \\ -3 & 6 & 3 \end{bmatrix}\) এর সাথে তুলনা করে পাই, \(x = -1\) \(y = 2\) \(z = 1\) সুতরাং, \(B = \begin{bmatrix} -1 & 2 & 1 \end{bmatrix}\) অতএব, সঠিক উত্তর: \(\begin{bmatrix} -1 & 2 & 1 \end{bmatrix}\) 🎉 ```