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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Matrices

NDA 2012 · Mathematics · Matrices

If A=( array ll 1 & 2 2 & 3 array ) and B=( array ll 1 & 0 1 & 0...

If A=\left(1223\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right) and B=\left(1010\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right) then what is determinant of ABA B ?

Options

  1. A0
  2. B1
  3. C10
  4. D20

Correct answer

A. 0

Step-by-step solution

[1223][1010]AB=[3050](AB)=0.\begin{aligned} & {\left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right]\left[\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right]} \\ & \mathrm{AB}=\left[\begin{array}{ll}3 & 0 \\ 5 & 0\end{array}\right] \\ & (\mathrm{AB})=0.\end{aligned}
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