JEE Main Practice — 26 Questions

Matrices contributes 1 to 2 questions in a typical JEE Main paper — often merged with determinants, but regularly standing alone through the special families (idempotent, nilpotent, orthogonal), $A^n$ pattern problems, counting questions and matrix equations that yield $A^{-1}$. The 26 questions below run in a rough easy → hard progression matching the exam's spread.

Self-scoring (JEE Main scheme): $+4$ for each correct answer, $-1$ for each wrong answer, $0$ for skipped. Maximum $104$.

Timing target: about 2.5 minutes per question, 65 minutes for the full set. Attempt every question before reading any explanation.