Suppose S = B1, B2, B3, . . . , Bp is a set of matrices from Mmn. Formulate appropriate definitions for the following terms and give an example of the use of each

Suppose S = {B₁, B₂, B₃, . . . , B_p }is a set of matrices from M_mn. Formulate appropriate definitions for the following terms and give an example of the use of each.

1.    A linear combination of elements of S.

2.    A relation of linear dependence on S, both trivial and nontrivial.

3.    S is a linearly independent set.

4.   (S)