Linear Algebra

Build practical understanding of vectors, matrices, linear systems, transformations, and vector spaces, then use it for solving systems, representing transformations, and modeling multidimensional data.

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Level: School to university foundations
Subject area: STEM and Problem Solving
Learning outcomes: 4 focused outcomes

Topic overview

Learn the foundations of Linear Algebra.

Linear Algebra connects vectors, matrices, linear systems, transformations, and vector spaces with practical decisions and tasks. Guided examples, comparison, practice, and feedback help learners apply these ideas to solving systems, representing transformations, and modeling multidimensional data. The goal is to make each step easier to explain, check, and improve.

Learning outcomes for Linear Algebra

1
Explain the main ideas and vocabulary involved in vectors, matrices, linear systems, transformations, and vector spaces
2
Follow a repeatable process for solving systems, representing transformations, and modeling multidimensional data
3
Compare examples, identify common mistakes, and improve an approach
4
Complete an independent linear algebra task and reflect on the result

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Suggested route

How to learn Linear Algebra step by step.

Build the foundation

Explain the main ideas and vocabulary involved in vectors, matrices, linear systems, transformations, and vector spaces

Practise with feedback

Follow a repeatable process for solving systems, representing transformations, and modeling multidimensional data

Practise with feedback

Compare examples, identify common mistakes, and improve an approach

Apply and reflect

Complete an independent linear algebra task and reflect on the result

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Linear Algebra