Question

In a symmetric banded matrix __________

(a) aij=aji

(b) aji*aij

(c) aij≠aji

(d) aii=ajj

I got this question during an online interview.

I'm obligated to ask this question of Gaussian Elimination topic in division Matrix Algebra and Gaussian Elimination of Finite Element Method

Answer 1

Correct choice is (a) aij=aji

To elaborate: For a symmetric banded matrix aij=aji. A symmetric banded matrix is a symmetric matrix whose nonzero elements are arranged uniformly near the diagonal.