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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Matrices

NDA 2012 · Mathematics · Matrices

If A=[ array ll 3 & 4 5 & 6 7 & 8 array ] and B=[ array lll 3 & 5 &...

If A=\left[345678\begin{array}{ll}3 & 4 \\ 5 & 6 \\ 7 & 8\end{array}\right] andB=\left[357468\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right]$, then which one of the following is correct?

Options

  1. ABB is the inverse of AA
  2. BBB is the adjoint of AA
  3. CBB is the transpose of AA
  4. DNone of the above

Correct answer

C. BB is the transpose of AA

Step-by-step solution

\mathrm{A}=\left[345678\begin{array}{ll}3 & 4 \\ 5 & 6 \\ 7 & 8\end{array}\right], \quad \mathrm{A}^{\mathrm{T}}=\left[357468\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right], \quad \mathrm{B}=\left[357468\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right]\therefore \mathrm{B} is the transpose of A.
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