a.
To determine: The entry of in the
The obtained relation is commutative.
Given Information:
The matrix is defined as,
Explanation:
Consider the given matrix,
It can observed in the given matrix that the distance between A to B is similar to B to A. The distance between C to D is equal to D to C. So it can be conclude that the relation explained in the given matrix is commutative relation.
Hence, the relation is commutative.
b.
To determine: The diagonal entries are zero of the given matrix.
The distance between in the same city is always zero.
Given Information:
The matrix is defined as,
Explanation:
Consider the given matrix,
As it can observed that the distance between A to A is zero, and the distance between C to C is also zero. Because the distance from same city is always zero.
Hence, the distance between in the same city is always zero.
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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