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• Year 1 2024/Term 3 Year 1/Math 232/Assignments/Assignments
• Practice
  • Midterm 1
• Unit 1
  • 1.1 Equations of lines and planes
  • Year 1 2024/Term 3 Year 1/Math 232/Unit 1/1.1
  • 1.2 Span
  • 1.3 Geometry
  • 1.4 Linear Independence
  • 1.4 Subspace
  • 1.5 Basis
  • 1.5 Projection
  • 1.x Intersections
  • 1.x Normal Vectors
  • 1.x Parametric Equations
  • 1.x Scalar equation
  • Minimum Distance from a point to a line
• Unit 2
  • 2.1 REF
  • 2.1 Systems of Linear Equations
  • 2.2 Homogeneous Equations
  • 2.2 Rank
  • 2.2 RREF
  • 2.3 Dimension
  • 2.4 Applications of Systems of Linear Equations
• Unit 3
  • 3.1 Matrix operations
  • 3.2 Codomain
  • 3.2 Identity matrix
  • 3.2 linear mappings
  • 3.2 Transpose
  • 3.4 Special Spaces
  • 3.4Nullspace and left nullspace
  • 3.5 Column Space
• Unit 4
  • 4.1 Vector Spaces
  • 4.2 Standard basis vectors of vector spaces
  • 4.3 Polynomials and Vector Space
  • 4.4.1 change of bases
  • 4.4.2 Change of Coordinates
• Unit 5
  • Determinant
  • Properties of the determinant
• Unit 6
  • 6.1 Power Method
  • 6.2 Diagonalization
  • 6.3 Markov Matrices
  • Characteristic Polynomial and Multiplicity
  • Eigenvalues and Eigen vectors
• Unit 7
  • 7.1 Orthogonal and orthonormal bases
  • 7.2 Projection onto subspaces and Gram-Schmidt
  • 7.3 Method of Least Square
• Unit 8
  • 8.1 Orthoganal Diagonalization
  • 8.5 Singular Value Decomposition
• Unit 9
  • Complex Numbers
  • Polar Form