Section 16.4: Inverse Matrices

16.4 Outline

  1. Matrix operations
    1. matrix equation
    2. equality
    3. addition
    4. multiplication by a scalar
    5. subtraction
    6. multiplication
    7. noncomformable
  2. Zero-one matrices
  3. Algebraic properties of matrices
    1. zero matrix
    2. identity matrix for multiplication
    3. main diagonal
    4. additive inverse
    5. multiplicative inverse
    6. properties
      1. commutative
      2. associative
      3. identity
      4. inverse
      5. distributive
  4. Inverse
See the whole entry

Section 5.1: Natural Numbers

5.1 Outline

  1. Basic concepts
    1. counting numbers
    2. natural numbers
    3. addition
  2. Closure property
    1. definition
    2. closed/not closed
  3. Commutative and associative properties
    1. commutative property for addition
    2. associative property for addition
    3. definition of multiplication
    4. closure for multiplication in the set of natural numbers
    5. commutative property
See the whole entry