Matrices - PowerPoint

Key knowledge

• The concept of a matrix and its use to store, display and manipulate information.
• Types of matrices (row, column, square, zero, identity) and the order of a matrix.
• Matrix arithmetic: the definition of addition, subtraction, multiplication by a scalar, multiplication, the power of a square matrix, and the conditions for their use.
• Determinant and inverse of a matrix.
• Simple communication matrices and their application.
• Regular transition matrices and their identification.

Key skills

• Use matrices to store and display information that can be presented as  a rectangular array.
• Identify row, column, square, zero and identity matrices and determine their order.
• Add and subtract matrices, multiply a matrix by a scalar or another matrix, and raise a matrix to a power.
• Use matrix sums, difference, products and powers and inverses to model and solve practical problems.
• Construct a transition matrix to model the transitions in a population with an equilibrium state.