• 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 inverse of a 2x2 matrix

5. Find the determinant of a 2x2 matrix

6. Multiply two matrices

7. Perform scalar multiplication of a matrix

9. Subtract matrices

• #### Transformation and Matrices 9 concepts

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

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

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

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

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

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

9. Use matrix multiplication to combine two linear transformations

### 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

### Ready to start this program? Simply pick a time that works for you  We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime