If A= [ array cc 2 & -1 -7 & 4 array ] and B= [ array ll 4 & 1 7 & 2 array ] then B T A T…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

\(\text { If } A=\left[\begin{array}{cc} 2 & -1 \\ -7 & 4 \end{array}\right] \text { and } B=\left[\begin{array}{ll} 4 & 1 \\ 7 & 2 \end{array}\right]\) then BTAT is equal to –
  1. \(\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right]\)
  2. \(\left[\begin{array}{ll} 1 & 1 \\ 1 & 1 \end{array}\right]\)
  3. \(\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right]\)
  4. \(\left[\begin{array}{ll} 1 & 0 \\ 0 & 0 \end{array}\right]\)

Answer

(A) [ array ll 1 & 0 0 & 1 array ]

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