Question
If A and B are symmetric matrices of same order, then AB is symmetric if and only if..........
Matrices — Class 12 Maths Solution
Step-by-step Solution
If A and B are symmetric matrices of same order, then AB is symmetric if and only if $AB = BA$.
$\therefore$ ${(AB)^\prime }$
$= {B^\prime }{A^\prime } = BA$
$= AB$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.