class 12 maths matrices

If each of the three matrices of the same order are symmetric, then their sum is a symmetric matrix.

Correct Answer True

VAVidaara Admin Asked 8d ago 0 views 0 answers
📘 Matrices NCERT,Exemp,Q.no.94,Page 63 TrueFalse

If each of the three matrices of the same order are symmetric, then their sum is a symmetric matrix.

Correct Answer True

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Let A, B and C are three matrices of same order
$\therefore$ ${A^\prime } = A,$ ${B^\prime } = B$ and ${C^\prime } = C$

$\therefore$ ${(A + B + C)^\prime } = {A^\prime } + {B^\prime } + {C^\prime }$
$= (A + B + C)$

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