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First steps in Linear Algebra

First steps in Linear Algebra

This resource introduces the geometric ideas that motivate linear algebra. Using visual examples, it explains vectors, linear combinations and linear transformations before formal definitions are introduced.

The goal is to build intuition for how matrices act on space and how vector combinations generate subspaces. These ideas prepare students for later topics such as matrix multiplication, row reduction and projections....

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Keywords:
linear transformations, linear combinations, subspaces, matrix transformations, geometric interpretation, visualization, vector spaces, vectors, linear algebra, matrices
Disciplines:
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More about this material

Material Type:
Reference Material
Date Added to MERLOT:
March 13, 2026
Date Modified in MERLOT:
March 13, 2026
Authors:
 
 
Submitter:
Yuri Morozov
Primary Audience:
College General Ed, College Lower Division, College Upper Division
Technical Format:
PDF, Website
Mobile Compatibility:
Not specified at this time
Language:
English
Cost Involved:
No
Source Code Available:
No
Creative Commons:
Unknown

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