Question

what is a group in linear algebra

Answer 1

I'm guessing its a set of matrices with a binary operation which satisfies the same conditions for a set to be a group

Answer 2

In mathematics, a linear algebraic group is a subgroup of the group of invertible n×n matrices (under matrix multiplication) that is defined by polynomial equations. An example is the orthogonal group, defined by the relation MTM = I where MT is the transpose of M.