Q. If $A$ and $B$ are two non-singular matrices such that $AB = C$, then $|B|$ is equal to
A) $\frac{|C|}{|A|}$
B) $\frac{|A|}{|C|}$
C) $|C|$
D) None of these
Explanation
(a)
$AB = C$
$\Rightarrow |AB| = |C|$
$\Rightarrow |A||B| = |C|$
$\Rightarrow |B| = \frac{|C|}{|A|}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.