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Georgia Tech - Mat 1554 - Study Guide

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Georgia Tech - Mat 1554 - Study Guide

School: Georgia Institute of Technology
Department: Math
Course: Linear Algebra
Professor: Belegradek
Term: Fall 2016
Tags:
Name: Linear Algebra Test 1 Study Guide
Description: Test 1 study guide (not final exam)
Uploaded: 01/25/2017
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background image   Math 1554 - Linear Algebra   [Test 1 Study Guide]    
 
Highlight  ​= Important Principle            ​Highlight​ = Important Concept           ​Highlight​ = Key   *Try the  practice exam​ on T-Square!    Chapter 1  Section 1.1 Systems of Linear Equations  - Important terms:  - solution: ​ list of #s that make the equation true (can have ​no solution, one solution, or  infinitely many solutions ​)  - Solution set: ​ set of all possible solutions  - Equivalent ​ linear systems have the same solution set  - Consistent/inconsistent  - Consistent linear equations have one or infinitely many solutions  - Inconsistent linear equations have  ​no​ solution.  - Matrix   - Uses a rectangular array with the coefficient of each variable in a linear system aligned in 
columns.. 
- (in textbook page 5) solving a linear system  - Elementary row operations  - Replacement: replace a row by the sum of itself plus a multiple of another row.  - Interchange: swap two rows  - Scaling: multiple the entries of a row by a nonzero constant  - (in textbook page 5) solving a linear system   
Section 1.2 Row Reduction and Echelon Forms 
- Important term:  - Leading entry ​: the leftmost nonzero entry  - Echelon form  - All nonzero rows are above any rows of all zeros  - Each leading entry of a row is in a column to the right of the leading entry of the row above 
it 
- All entries in a column below a leading entry are zeros  - Ex:   -2 

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School: Georgia Institute of Technology
Department: Math
Course: Linear Algebra
Professor: Belegradek
Term: Fall 2016
Tags:
Name: Linear Algebra Test 1 Study Guide
Description: Test 1 study guide (not final exam)
Uploaded: 01/25/2017
2 Pages 52 Views 41 Unlocks
  • Better Grades Guarantee
  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!
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