Sets and matrices

Build and connect the representations and methods in sets and matrices.

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  • 2 lessons
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Before you begin

Build and connect the representations and methods in sets and matrices.

Learning goals
  • Represent sets and reason with set notation
  • Represent data and calculate with matrices
Syllabus statements covered
  • use of set language and notation: A ∪ B, A ∩ B, n(A), ∈, ∉, A′, ∅, universal set ξ, A ⊆ B, A ⊈ B, A ⊂ B, A ⊄ B • union and intersection of two sets • Venn diagrams
  • display of information in the form of a matrix of any order • interpreting the data in a given matrix • product of a scalar quantity and a matrix • problems involving the calculation of the sum and product (where appropriate) of two matrices
  • use of set language and the following notation: Union of A and B A∪B Intersection of A and B A∩B Number of elements in set A n(A) “... is an element of ...” ∈ “... is not an element of ...” ∉ Complement of set A A′ The empty set ∅ Universal set ξ A is a subset of B A⊆B A is a not a subset of B A⊈B A is a (proper) subset of B A⊂B A is a not a (proper) subset of B A⊄B
  • union and intersection of two sets
  • Venn diagrams
  • display of information in the form of a matrix of any order
  • interpreting the data in a given matrix
  • product of a scalar quantity and a matrix
  • problems involving addition, subtraction and multiplication of matrices

Lessons

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