6 JEE Main 2012 Matrices previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 previous-year questions from the Matrices chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Matrices chapter hub.
Let A= (arraylll1 & 0 & 0 \ 2 & 1 & 0 \ 3 & 2 & 1array ). If u₁ and u₂ are column matrices such that A u₁= (arrayl1 \ 0…
Let A and B be real matrices of the form [arrayllα & 0 \ 0 & βarray ] and [arrayll0 & γ \ δ & 0array ], respectively. S…
If A^T denotes the transpose of the matrix A= [arraylll0 & 0 & a \ 0 & b & c \ d & e & farray ], where a, b, c, d, e an…
Let P and Q be 3 × 3 matrices with P ≠ Q. If P³=Q³ and P² Q=Q² P, then determinant of (P²+Q² ) is equal to
If A= (arraycα-1 \ 0 \ 0array ), B= (arraycα+1 \ 0 \ 0array ) be two matrices, then A B^T is a non-zero matrix for |α|…
If A= [arrayccc1 & 0 & 0 \ 2 & 1 & 0 \ -3 & 2 & 1array ] and B= [arrayccc1 & 0 & 0 \ -2 & 1 & 0 \ 7 & -2 & 1array ] the…