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Factorization into A = LU

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang

This session explains inverses, transposes and permutation matrices. We also learn how elimination leads to a useful factorization A = LU and how hard a computer will work to invert a very large matrix.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 2.6 in the textbook.

Problem Solving Video

  • Watch the recitation video on LU Decomposition (00:09:33)
  • Recitation video transcript (PDF)

Check Yourself

Problems and Solutions

Work the problems on your own and check your answers when you're done.

 

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