linear algebra vs algebra

linear algebra and algebra both are nouns.

Word	Noun	Adjective	Verb	Adverb
linear algebra	Yes	No	No	No
algebra	Yes	No	No	No

As nouns, algebra is a hypernym of linear algebra; that is, algebra is a word with a broader meaning than linear algebra:

linear algebra: the part of algebra that deals with the theory of linear equations and linear transformation
algebra: the mathematics of generalized arithmetical operations

linear algebra (noun)	algebra (noun)
the part of algebra that deals with the theory of linear equations and linear transformation	the mathematics of generalized arithmetical operations