MCQ
If $A = \left| {\,\begin{array}{*{20}{c}}{ - 1}&2&4\\3&1&0\\{ - 2}&4&2\end{array}\,} \right|$and $B = \left| {\,\begin{array}{*{20}{c}}{ - 2}&4&2\\6&2&0\\{ - 2}&4&8\end{array}\,} \right|$, then $B$ is given by
  • A
    $B = 4A$
  • $B = - 4A$
  • C
    $B = - A$
  • D
    $B = 6A$

Answer

Correct option: B.
$B = - 4A$
b
 (b) $B$ is obtained from $A$ by the operations ${R_1} \leftrightarrow {R_3},\,\,{R_3} \to 2{R_3}$ and ${R_2 → 2R_2}.$
Hence, $B = ( - 1)\,4A = - 4A$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free