Linear Algebra

Concept List

• Linear Equation
• Linear System
• Matrix Equation
• Vector
• Vector Operations
• Inverse Matrix
• Elementary Matrices
• Linear Independence
• Subspace
• Linear Coordinate System
• Dimension of a Subspace
• Basis via Dimension
• Matrix - Determinant
• Cramer’s Rule
• Column Space of a Matrix
• Null Space of a Matrix
• Rank-Nullity Theorem
• Eigenvectors and Eigenvalues
• Matrix Characteristic Equation
• Diagonalization
• Inner Product of Vectors
• Orthogonal Set
• Orthogonal Projection
• Gram Schmidt Process