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A First Course in Linear Algebra
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A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Robert Beezer
Date Added:
02/19/2015
Linear Algebra: A Projection onto a Subspace is a Linear Transformation
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CC BY-NC-SA
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This 16-minute video lesson shows that a projection onto a subspace is a linear transformation. [Linear Algebra playlist: Lesson 110 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra:  Finding Eigenvectors and Eigenspaces Example
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 15-minute video lesson shows how to find the eigenvectors and eigenspaces of a 2x2 matrix. [Linear Algebra playlist: Lesson 136 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
PVSTEM9 Slow Car Challenge - How Slow Can You Go?
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CC BY-NC
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Build the slowest moving LEGO car (or other vehicle dependent on gears and moves at a constant velocity), predict exactly when and where that will crash into another one a set distance apart.
Combines Physics, Tech Ed, and Algebra I concepts very well.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Date Added:
12/06/2018