HOMEWORK AND STUDY GUIDELINES

 

Concept List for Group Instruction

Chapter 3 Matrices
3.0 Matices in Action
3.1

(i) Addition, subtraction, scalar multiplication

  (ii) Matrix multiplication
  (iii) Partitioned matrices
  (iv) Matrix power, transpose, definitions
3.2 (i) Properties of matrix addition
  (ii) Properties of matirx multiplication
  (iii) Properties of matrix transpose
3.3 (i) Inverse matrices and properties
  (ii) theorems, determinant
  (iii) The fundamental theorem of invertible matrices v.1
  (iv) The Gauss-Jordan method
3.4 (i)LU Factorization inc. easy method
  (ii) P^TLU Factorization and Computational Considerations
3.5 (i) Subspaces Definition and Theorems
  (ii)Subspaces associated with matrices
  (iii) Dim & Rank, Basis Theorem, Rank Theorem
  (iv) The fundamental theorem of invertible matrices v.2
3.6 (i) Linear Transformations
  (ii) Combination of Linear Transformations--new from old
  (iii)Inverse of Linear Transformations, Associativity
  Robotics
3.7 (i) Markov Chains
  (ii) Linear Econ Models
  (iii) Population Growth
  (iv) Graphs and digrphs
  (v) Error Correcting Codes