Check the true statements below:

A. The columns of an invertible $n \times n$ matrix form a basis for ${\mathbb R}^n$.
B. A single vector by itself is linearly dependent.
C. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix.
D. If $H=\text{span} \{ b_{1},...,b_{p} \}$, then $\{ b_{1},...,b_{p} \}$ is a basis for $H$.
E. A basis is a spanning set that is as large as possible.