A=((0,1),(1,2)) and B=((1),(2)) হলে AB=কত?

((5),(2))

((2),(5))

((1),(5))

((-2),(5))

সঠিক উত্তরঃ B.

((2),(5))

Explanation:

Another Explanation (5): ```html

এখানে, \(A = \begin{pmatrix} 0 & 1 \\ 1 & 2 \end{pmatrix}\) এবং \(B = \begin{pmatrix} 1 \\ 2 \end{pmatrix}\)

\(AB\) নির্ণয়:

\(AB = \begin{pmatrix} 0 & 1 \\ 1 & 2 \end{pmatrix} \begin{pmatrix} 1 \\ 2 \end{pmatrix}\)

\(AB = \begin{pmatrix} (0 \times 1) + (1 \times 2) \\ (1 \times 1) + (2 \times 2) \end{pmatrix}\)

\(AB = \begin{pmatrix} 0 + 2 \\ 1 + 4 \end{pmatrix}\)

\(AB = \begin{pmatrix} 2 \\ 5 \end{pmatrix}\) 🎉🎉

অতএব, \(AB = \begin{pmatrix} 2 \\ 5 \end{pmatrix}\) 🥳🥳

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