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MA111Wk1Lect3

# MA111Wk1Lect3 - SCHOOL OF COMPUTING INFOMATION AND...

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• rajnath131313
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MA111: Linear Algebra and Calculus Week 1 : Lecture 3 SCHOOL OF COMPUTING, INFOMATION AND MATHEMATICAL SCIENCES KSR 1

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1. No solution Parallel lines Inconsistent system Example: Solve 2 1 y x y x 04/11/16 KSR 2
2. Exactly one solution Intersecting lines Consistent system Equations are independent Example : Solve 1 3 y x y x 04/11/16 KSR 3

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3. Infinitely many solutions Coincident lines Consistent system Equations are dependent Example: Solve 6 2 2 3 y x y x 04/11/16 KSR 4
Matrix Method A matrix can be used to represent a system of linear equations….called the Augmented matrix 1 2 1 5 3 2 1 5 2 1 2 6 2 5 3 2 5 2 2 6 x y z x y z x y z   04/11/16 KSR 5

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Elementary Row operations [ERO] Interchange any two rows. Replace a row by a nonzero multiple of that row.
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• Fall '16
• KSR, ERO

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