Find AB if A = \(\begin{bmatrix}1&2\\3&4\end{bmatrix}\) and B = \(\begin{bmatrix}1&5\\3&2\end{bmatrix}\).(a) AB = \(\begin{bmatrix}15&23\\9&7\end{bmatrix}\)(b) AB = \(\begin{bmatrix}9&7\\23&15\end{bmatrix}\)(c) AB = \(\begin{bmatrix}7&9\\15&23\end{bmatrix}\)(d) AB = \(\begin{bmatrix}7&9\\23&15\end{bmatrix}\)This question was posed to me during an interview.This interesting question is from Operations on Matrices topic in chapter Matrices of Mathematics – Class 12

Find AB if A = \(\begin{bmatrix}1&2\\3&4\end{bmatrix}\) and B = \(\beg

1.	Find AB if A = \(\begin{bmatrix}1&2\\3&4\end{bmatrix}\) and B = \(\begin{bmatrix}1&5\\3&2\end{bmatrix}\).(a) AB = \(\begin{bmatrix}15&23\\9&7\end{bmatrix}\)(b) AB = \(\begin{bmatrix}9&7\\23&15\end{bmatrix}\)(c) AB = \(\begin{bmatrix}7&9\\15&23\end{bmatrix}\)(d) AB = \(\begin{bmatrix}7&9\\23&15\end{bmatrix}\)This question was posed to me during an interview.This interesting question is from Operations on Matrices topic in chapter Matrices of Mathematics – Class 12
Answer» The CORRECT option is (C) AB = \(\begin{bmatrix}7&9\\15&23\end{bmatrix}\) For EXPLANATION I would SAY: Given that, A = \(\begin{bmatrix}1&2\\3&4\end{bmatrix}\) and B = \(\begin{bmatrix}1&5\\3&2\end{bmatrix}\) Then, AB = \(\begin{bmatrix}1&2\\3&4\end{bmatrix}\)\(\begin{bmatrix}1&5\\3&2\end{bmatrix}\) =\(\begin{bmatrix}1×1+2×3&1×5+2×2\\3×1+4×3&3×5+4×2\end{bmatrix}\)=\(\begin{bmatrix}7&9\\15&23\end{bmatrix}\).

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