Last updated April 10, 2022

Status: Tags: Links: ) MATH 232 - Applied Linear Algebra

MATH 232 Units

1

1.1

32

• Vectors
  • Vector Operations
  • Linear Combinations
  • Vector Line Equations
  • Parametric Equations

1.2

45

• Span
• Linear Independence and Dependence
• Basis

1.3

• Vector Length
• Vector Angles
• Dot Product
• Scalar Equation of hyperplane

1.4

• HW
• Closed Vectors
• Vector Subspace

1.5

77, 90

• Vector Projections
• Vector Min Distance, Nearest Point, Best Approximation
• Unit Vector
• Scalar Equation of hyperplane

Questions

• Use a projection to find the distance from the point to the plane in R3

2

2.1

• HW

Yes

• System of linear equations
• Row Echelon Form

2.2

• HW

• Reduced Row Echelon Form
• Matrix Rank
• Homogeneous linear system

2.3

• HW
• Augmented Matrix to determine span
• Augmented Matrix to determine linear independence

2.4

• System of linear equations applications

3

3.1

• Matrix
• Matrix Operations
• Matrix Linearity Properties
• Matrix Vector Multiplication
• Matrix Transpose

3.2

• Matrix Mapping
• Linear Mapping
• Compositions of Transformations
• Finding matrix projection and perpendicular

3.3

• Geometrical Transformations

3.4

• Range
• Subspace types
  • Column space
  • Row space
  • Nullspace
  • Left Nullspace
• Rank Nullity Theorem
• Fundamental Theorem of Linear Algebra

3.5 Inverse Matrices and Inverse Mappings

txt: 233 ans: 69

• Matrix Inverse

4

4.2

• Vector Space

4.3

• Unique Representation Theorem
• Basis Reduction Theorem
• Dimension Theorem
• Basis Extension Theorem

4.4

• Vector Coordinates

4.5

• Linear Mapping

5

5.1

• Determinants
• Matrix Cofactor

6

6.1

• Eigenvalues and Eigenvectors

6.2

• Diagonalization

6.3

• Applications of Diagonalization

7

7.1

• Orthogonal Bases

7.2

• Subspace Projections
• Orthogonal Complement
• Gram-Schmidt Procedure

7.3

• Method of Least Squares

8.1

• Diagonalization of symmetric matrices
• Orthogonal Matrix
• Principal Axis Theorem

8.5

• Singular Value Decomposition

9

9.1

• Complex Numbers

Backlinks

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list from MATH 232 Units AND !outgoing(MATH 232 Units)

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Created:: 2022-01-17 14:50