Linear Algebra Full Course - Linear Algebra: Getting Ready for Singular Value Decomposition
Master Linear Algebra: From Basics to Breakthroughs with Dr. Valerie Hower! Dive into comprehensive lectures, interactive practice, and real-world applications. Elevate your understanding and conquer Linear Algebra like a pro today!
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28 learners
What you'll learn
Understand and solve linear systems using matrix algebra
Perform Gauss Jordan elimination and matrix product calculations
Apply linear transformations in geometric contexts
Identify and calculate eigenvalues and eigenvectors of matrices
This course includes
29.5 hours of video
Certificate of completion
Access on mobile and TV
Summary
Full Transcript
We orthogonally diagonalize A^TA and AA^T and "magically" see the Singular Value Decomposition (SVD) of a 2x2 matrix!! This video includes two examples where we observe A^TA and AA^T have the same nonzero eigenvalues. Then, we prove statement in general.
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