Q. $A$ is a square matrix of order 4 and $I$ is a unit matrix, then it is true that
A) $d$et$\ (2A) = 2d$et$(A)$
B) det$(2A) = 16$det$(A)$
C) det$( - A) = -$det$(A)$
D) det$(A + I) = det(A) + I$
Explanation
(b)
$\det(2A) = 2^{4}\det(A) = 16det(A)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.