Linear Algebra

The other thing school was a run-up to

• Vectors in n Dimensions
• Linear Combinations
• Span
• Linear Independence
• Matrices and Matrix Operations
• Row Reduction and Echelon Form
• Gaussian Elimination
• Inverse Matrices
• Determinants
• Systems in Matrix Form
• Rank
• The Shape of a Solution Set
• Vector Spaces
• Subspaces
• Basis
• Dimension and Rank–Nullity
• Coordinates and Change of Basis
• Linear Transformations
• Kernel and Range
• The Matrix of a Transformation
• Eigenvalues
• Eigenvectors and Eigenspaces
• Diagonalization
• Eigenvalues at Work