%%

JEE Math Practice Question

If $$\left[ {\begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} } \right]\left[ {\begin{matrix} 1 & 2 \\ 0 & 1 \\ \end{matrix} } \right]$$$$\left[ {\begin{matrix} 1 & 3 \\ 0 & 1 \\ \end{matrix} } \right]$$....$$\left[ {\begin{matrix} 1 & {n - 1} \\ 0 & 1 \\ \end{matrix} } \right] = \left[ {\begin{matrix} 1 & {78} \\ 0 & 1 \\ \end{matrix} } \right]$$, then the inverse of $$\left[ {\begin{matrix} 1 & n \\ 0 & 1 \\ \end{matrix} } \right]$$ is

  1. A.$$\left[ {\begin{matrix} 1 & { 0} \\ {12} & 1 \\ \end{matrix} } \right]$$
  2. B.$$\left[ {\begin{matrix} 1 & { 0} \\ {13} & 1 \\ \end{matrix} } \right]$$
  3. C.$$\left[ {\begin{matrix} 1 & { - 13} \\ 0 & 1 \\ \end{matrix} } \right]$$
  4. D.$$\left[ {\begin{matrix} 1 & { - 12} \\ 0 & 1 \\ \end{matrix} } \right]$$

Want to know if you got it right?

Answer this and thousands more real JEE previous-year questions free, get graded instantly, and climb the global ranked leaderboard.

Practice JEE free →

More JEE Math questions