JEE Main 2018 — Matrices Questions with Solutions

Let A be a matrix such that A. [arrayll1 & 2 \ 0 & 3array ] is a scalar matrix and |3 A|=108. Then A² equals

Suppose A is any 3 × 3 non-singular matrix and (A-3 I)(A-5 I)=O, where I=I₃ and O=O₃. If α A+ β A⁻¹=4 I, then α+β is eq…

Let A be a matrix such that A · 1 2 0 3 is a scalar matrix and 3 A = 108 . Then, A 2 equals :

Let A = 1 0 0 1 1 0 1 1 1 and B = A 20 . Then the sum of the elements of the first column of B is