📐 Mathematics · Matrices · JEE

If A and B are both symmetric matrices of the same order, then A + B is:

Answer: symmetric.

Correct answer: A. symmetric

Explanation: The sum of two symmetric matrices is symmetric, since (A+B)ᵀ = Aᵀ+Bᵀ = A+B.

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems