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Topic 8 - Matrices

We have below bronze, silver, gold and platinum tutorials for our Advanced Higher Maths Matrices topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt your practice question. Each tutorial has a corresponding worksheet for you to download for additional practice. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted. Good luck!

 

 

Essential prior knowledge:-

 

National 5 Maths; REL 1.1d

 

Contents:-

 

8.1 - Systems of equations

8.2 - The basics of matrices

8.3 - Matrix multiplication

8.4 - Determinants

8.5 - Inverse matrices

8.6 - Matrix transformations

8.1: Systems of equations

Gaussian elimination. In this bronze video you will learn a neat technique to solve a system of equations for 3 variables.

Now you've watched the video, try these practice questions.

8.1B - Systems of equations.pdf
Adobe Acrobat document [114.2 KB]

Redundant equations. We all know that 0 = 0. While this is true, when solving a system of equations it isn't very useful! What does this mean in terms of our solution? Find out in this silver video.

Now you've watched the video, try these practice questions.

8.1S - Redundant equations.pdf
Adobe Acrobat document [116.1 KB]

Inconsistent equations. Sometimes, our system of equations don't have any solutions at all. Find out when this happens and how to prove this in the gold video below.

Now you've watched the video, try these practice questions.

8.1G - Inconsistent equations.pdf
Adobe Acrobat document [140.7 KB]

Congratulations!

You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!

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