MA 214: Linear Algebra

Resources

• Please download course syllabus.
• Video Lectures.
• Lecture Notes
• Code and Programs.
• Exam models and instructions.

Assignments

Assignments follow Gilbert Strang, "Introduction to Linear Algebra", 3rd edition, unless stated.

• Problem Set 1.1: 1, 2, 16, 18, 19, 23.
• Problem Set 1.2: 1, 2, 3, 4, 7, 8, 12, 13, 29.
• Problem Set 2.1: 27, 33.
• Problem Set 2.2: 1, 7, 11.
• This homework is to refresh your background on summations and indicies:
  • solve problems of Ch. 1 in Searle (download) and these problems.
  • Write a program (C, Matlab, or any other) to calculate the time of the two versions vs. matrix size n.
• Problem Set 2.5: 1, 7, 8, 10, 15, 25, 29, 36.
• Problem Set 2.6: 1, 2, 5, 10, 11, 13, 15, 18.
• Computer programs and problems on complexity:
  • Write a function to do Gauss-Jordan elemination (keep track of zeros and pivots to reduce complexity)
  • Insert a counter in all loops of the previous function and plot the number of multiplications and summations.
  • Compare the complexity to that one of a goofy function that does not take into account zeros produced by elimination.

Course TA:

Ahmed M. Farrag (afarrag@fci.helwan.edu.eg)

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