Question
If each of the three matrices of the same order are symmetric, then their sum is a symmetric matrix.
Correct Answer True
Matrices — Class 12 Maths Solution
Step-by-step Solution
Let A, B and C are three matrices of same order
$\therefore$ ${A^\prime } = A,$ ${B^\prime } = B$ and ${C^\prime } = C$
$\therefore$ ${(A + B + C)^\prime } = {A^\prime } + {B^\prime } + {C^\prime }$
$= (A + B + C)$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.