Symmetrie Matrix The matrix below gives the road mileage between Atlanta (A), Baltimore (B), Cleveland (C), and Denver (D).

(a)  Explain why the entry in the ith row and the column is the same as the entry in the th row and ith column. A matrix with this property is symmetric.

(b)  Why are the entries along the diagonal all 0 's?

Transcribed Image Text:

A B C D ABC 0 689 774 1406 689 0 371 1685 774 371 0 1340 D 1406 1685 1340 0 A B C D ABC 0 689 774 1406 689 0 371 1685 774 371 0 1340 D 1406 1685 1340 0