Matrices Student Workbook

$4.00

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.

Overview

A useful tool for the teacher and collecting quick feedback on student progress, as well as being able to provide students with feedback.

The student workbook includes key ideas related to the knowledge and skills outlined in the study design, worked examples, as well as opportunities to demonstrate the key skills and understandings through 'your turn' questions, exam questions from the 2024 general math exam as developed by the VCAA and practice of key command terms. 

Works well with the 'Matrices Lesson Sequence - PowerPoint'.