Definitions of linearly dependent/independent set of vectors.
Relation of linear dependence of matrix columns and the solution of homogeneous equations.
How to verify a given set of vectors is linearly dependent or not; and how to find a linear dependence relation.
Theorem 7, 8 and 9.
Definitions of diagonal matrices, zero matrices and identity matrices.
Scalar multiplication and matrix addition.
How to compute matrix multiplication (by definition and row-column rule).
Definitions of powers and transpose of a matrix.
Theorem 1, 2 and 3 on the properties of matrix operations.