Linear Algebra Chapter 1.7: Linear Independence And NonSingular Matrices

This video covers Linear Algebra, Linear Independence and NonSingular Matrices. Topics include:
- Linear Independent and Linear Dependent Vectors
- Linear Combinations
- Solving the Matrix Equation Ax = 0 to determine if Column Vectors of A are independent
- NonSigular and Singular Matrices
- Ax=b has solution if A is Nonsingular
- several worked-out examples of each topic including many proofs (including proofs with cases and proofs with index sets)
- recommended book: Introduction to Linear Algebra by Johnson/Riess/Arnold