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Material Detail

Linear Algebra World — A Geometric Approach to Linear Algebra

Linear Algebra World — A Geometric Approach to Linear Algebra

This resource presents linear algebra through geometric structure and visual reasoning. Topics include vector spaces, subspaces, projections, least squares and QR factorization, organized as a sequence of interconnected chapters.

The approach emphasizes the decomposition of vectors and spaces, linking algebraic formulas to geometric intuition. Concepts such as projection onto subspaces, orthogonality and matrix factorizations are...

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Keywords:
linear transformations, matrix factorization, Gram-Schmidt, mathematics education, vector spaces, column space, orthogonality, subspaces, geometric interpretation, QR factorization, null space, least squares, projection, linear algebra
Disciplines:
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More about this material

Material Type:
Online Course Module
Date Added to MERLOT:
April 2, 2026
Date Modified in MERLOT:
April 8, 2026
Authors:
 
 
Submitter:
Eteri Byazrova
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:
Unknown
Creative Commons:
Unknown

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Eteri Byazrova
Eteri Byazrova (Content Developer/Instructional Designer)
1 week ago
We would appreciate consideration of this resource for MERLOT peer review. Linear Algebra World presents a sequence of interconnected chapters focused on geometric structure and visual reasoning in linear algebra. The material is designed as a conceptual supplement to standard undergraduate courses and includes topics such as subspaces, projection, least squares and QR factorization. Thank you for your time and consideration.