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# Georgia Tech - Mat 1554 - Study Guide

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Georgia Tech - Mat 1554 - Study Guide

##### Description: Test 1 study guide (not final exam)
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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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Join more than 18,000+ college students at Georgia Institute of Technology who use StudySoup to get ahead
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Join more than 18,000+ college students at Georgia Institute of Technology who use StudySoup to get ahead
##### Description: Test 1 study guide (not final exam)
2 Pages 52 Views 41 Unlocks
• Notes, Study Guides, Flashcards + More!
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