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## 16.4 Outline

- Matrix operations
- matrix equation
- equality
- addition
- multiplication by a scalar
- subtraction
- multiplication
- noncomformable

- Zero-one matrices
- Algebraic properties of matrices
- zero matrix
- identity matrix for multiplication
- main diagonal
- additive inverse
- multiplicative inverse
- properties
- commutative
- associative
- identity
- inverse
- distributive

- Inverse

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## 5.1 Outline

- Basic concepts
- counting numbers
- natural numbers
- addition

- Closure property
- definition
- closed/not closed

- Commutative and associative properties
- commutative property for addition
- associative property for addition
- definition of multiplication
- closure for multiplication in the set of natural numbers
- commutative property

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