WBJEE · Maths · Matrices
If the matrices \(A=\left[\begin{array}{lll}2 & 1 & 3 \\ 4 & 1 & 0\end{array}\right]\) and \(B=\left[\begin{array}{rr}1 & -1 \\ 0 & 2 \\ 5 & 0\end{array}\right]\), then \(\mathrm{AB}\) will be
- A \(\left[\begin{array}{cr}17 & 0 \\ 4 & -2\end{array}\right]\)
- B \(\left[\begin{array}{ll}4 & 0 \\ 0 & 4\end{array}\right]\)
- C \(\left[\begin{array}{cr}17 & 4 \\ 0 & -2\end{array}\right]\)
- D \(\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\begin{array}{cr}17 & 0 \\ 4 & -2\end{array}\right]\)
Step-by-step Solution
Detailed explanation
\[ \text { Hints : } \mathrm{AB}=\left[\begin{array}{lll} 2 & 1 & 3 \\ 4 & 1 & 0 \end{array}\right]\left[\begin{array}{rr} 1 & -1 \\ 0 & 2 \\ 5 & 0 \end{array}\right]=\left[\begin{array}{lr} 17 & 0 \\ 4 & -2 \end{array}\right] \]
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