JEE Main 2014 — Matrices Questions with Solutions

If A= [arrayccc1 & 2 & x \ 3 & -1 & 2array ] and B= [arraycy \ x \ 1array ] be such that AB= [arrayl6 \ 8array ], then:

If B is a 3 × 3 matrix such that B 2 = 0 , then d e t .   I + B 50 - 50 B is equal to :

Let for i=1,2,3, pi(x) be a polynomial of degree 2 in x, pⁱme i(x) and pⁱme ⁱme i(x) be the first and second order deri…

If A   is a 3 × 3 non-singular matrix such that A A ' = A ' A and B = A - 1 A ' , then B B ' equals, where X…

Let A and B be any two 3 × 3 matrices. If A is symmetric and B is skew symmetric, then the matrix A B - B A is

Let A be a 3 × 3 matrix such that A [arraylll 1 & 2 & 3 \ 0 & 2 & 3 \ 0 & 1 & 1 array ]= [arraylll 0 & 0 & 1 \ 1 & 0 &…