Linear Algebra

• Scalars, Vectors, Matrices, Tensors
• Basis Space and Basis Vectors
• Dot and Cross Products
• Matrix Rank (look at Row Echelon Forms)
• Matrix Transpose and Operations
• Matrix Determinants and what they mean
• Matrix Invertibility
• Matrix Adjoint
• Matrix Conjugate
• Matrix Orthogonality
• Eigenvalues and Eigenvectors
• Cramer's Rule