If A= [ array ll 1 & 2 3 & 0 array ] and B= [ array ll 3 & 4 1 & 6 array ] then (AB) T…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If \(A=\left[\begin{array}{ll} 1 & 2 \\ 3 & 0 \end{array}\right] \text { and } B=\left[\begin{array}{ll} 3 & 4 \\ 1 & 6 \end{array}\right]\) then (AB)T equals -
  1. \(\left[\begin{array}{ll} 5 & 16 \\ 9 & 16 \end{array}\right]\)
  2. \(\left[\begin{array}{cc} 5 & 9 \\ 16 & 12 \end{array}\right]\)
  3. \(\left[\begin{array}{ll} 5 & 9 \\ 4 & 3 \end{array}\right]\)
  4. none of these

Answer

(B) [ array cc 5 & 9 16 & 12 array ]

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