• Mathematics General
• Year 11

# Algebra and Matrices

approx. 10 hrs

4 topics

19 concepts

Build mastery of Algebra and Matrices by enrolling in this learning program.

Available in
ACT NT QLD SA TAS WA

### Overview

The principal focus of this learning program is the symbolic representation and manipulation of information from real-life contexts using algebra and matrices. Students will learn to effectively select algebraic techniques to simplify linear and non-linear expressions. Students will develop a proficienct ability to work with matrices including performing mathematical operations on two or more matrices, with and without the aid of technology.

### Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 19 concepts.

• #### Linear and non-linear expressions 3 concepts

1. Use a CAS calculator to construct a table of values

2. Substitute positive or negative integers into a given formula

3. Substitute positive or negative values into an algebraic expression and evaluate the result

• #### Basics of Matrices 5 concepts

1. Calculate the sum of elements in a row or column

2. Identify the elements in a matrix using notation

3. Use the matrix template of the calculator to retrieve values of elements

4. Identify different types of matrices including row, column, square, identity, diagonal, triangular, symmetric and zero

5. Write down the order of a matrix

• #### Operations using Matrices 8 concepts

1. Determine the power of a matrix

2. Determine the order of a matrix product

3. Multiply two matrices

4. Perform scalar multiplication of a matrix

6. Subtract matrices

7. Perform a combination of addition, subtraction and scalar multiplication of matrices

8. Use a calculator to perform operations with matrices

• #### Applications of Matrices 3 concepts

1. Applying matrices to social networks

2. Construct a communication matrix from a diagram

3. Application of matrices to solve a range of word problems

### 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 Algebra and 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