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Lesson Packs · Grade 12 · Mathematics

Matrices and Systems of Linear Equations

Students learn matrix notation and order, add and scale matrices, multiply matrices and see why the order matters, find 2 × 2 and 3 × 3 determinants and 2 × 2 inverses, and solve systems of linear equations with an inverse matrix and by elimination.

MathematicsGrade 12Unit 8 · Lesson 25G12-MAT-25
Slide 1
Matrices and Systems of Linear Equations — Slide 1
+33in the download
38slides: lesson, examples and worksheet
10worksheet questions
34marks in total
4 + 4worksheet + answer key pages

Learning objectives

  • Identify the order and entries of a matrix, and add, subtract and scale matrices.
  • Multiply matrices, deciding first whether the product exists, and explain why AB ≠ BA in general.
  • Find 2 × 2 and 3 × 3 determinants and 2 × 2 inverses, and solve linear systems with an inverse or by elimination.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (34 marks) with step-by-step solutions
  • Printable worksheet (4 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in Unit 8

All Grade 12 Mathematics lessons

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

Do downloads count toward my plan?

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