If the matrices A= [ array lll 2 & 1 & 3 4 & 1 & 0 array ] and B= [ array cc 1 & -1 0 & 2…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If the matrices \[A=\left[\begin{array}{lll} 2 & 1 & 3 \\ 4 & 1 & 0 \end{array}\right] \text { and } B=\left[\begin{array}{cc} 1 & -1 \\ 0 & 2 \\ 5 & 0 \end{array}\right] .\] then AB will be
  1. \(\left[\begin{array}{cc} 17 & 0 \\ 4 & -2 \end{array}\right]\)
  2. \(\left[\begin{array}{ll} 4 & 0 \\ 0 & 4 \end{array}\right]\)
  3. \(\left[\begin{array}{cc} 17 & 4 \\ 0 & -2 \end{array}\right]\)
  4. \(\left[\begin{array}{ll} 0 & 0 \\ 0 & 0 \end{array}\right]\)

Answer

(A) [ array cc 17 & 0 4 & -2 array ]

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