• Mathematical Methods
  • Year 11

Transformation using Matrices

approx. 5 hrs

2 topics

18 concepts

Gain proficiency in applying matrix techniques to transform graphs.

Available in
VIC

Overview

In this learning program, students will develop skills to perform mathematical operations using matrices.  We will explore the connection between the matrix structure and the structure of a given function. This will enable students to effectively use matrices with transformations of functions.

Topics & Concepts We Cover

This learning program is made up of the following 2 topics, broken down into 18 concepts.

  • Working with Matrices 9 concepts

    1. Apply the multiplicative identity for a 2x2 square matrix

    2. Understand aij notation for a 2x2 or 2x1 matrix

    3. Use a graphing calculator to perform calculations of matrices

    4. Find the determinant of a 2x2 matrix

    5. Find the inverse of a 2x2 matrix

    6. Multiply two matrices

    7. Add matrices

    8. Subtract matrices

    9. Perform scalar multiplication of a matrix

  • Transformation and Matrices 9 concepts

    1. Use a 2x2 matrix to find the image of a point under a reflection in the y-axis

    2. Use a 2x2 matrix to find the image of a point under a reflection in the line y=x

    3. Use a 2x2 matrix to find the image of a point under a dilation dactor k from the y-axis

    4. Use a 2x2 matrix to find the image of a point under a dilation dactor k from the x-axis

    5. Given a linear transformation find the image of a point

    6. Use matrix multiplication to combine two linear transformations

    7. Find the equation of the image of a straight line or curve under a transformation defined by a 2x2 matrix

    8. Find the image of a straight line or curve under a transformation described by an equation

    9. Use a 2x2 matrix to find the image of a point under a reflection in the x-axis

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Transformation using Matrices

Reporting

  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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