topic vs matter

topic and matter both are nouns.

Word	Noun	Adjective	Verb	Adverb
topic	Yes	No	No	No
matter	Yes	No	Yes	No

As nouns, topic and matter are synonyms defined as:

Other synonyms of topic include issue, subject.

topic (noun)	matter (noun)
some situation or event that is thought about	that which has mass and occupies space
the subject matter of a conversation or discussion	(used with negation) having consequence
	some situation or event that is thought about
	a vaguely specified concern
	a problem
	written works (especially in books or magazines)

topic (verb)	matter (verb)
	have weight; have import, carry weight