Slides_2010_01_20

# Slides_2010_01_20 - Applied linear algebra and numerical...

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Applied linear algebra and numerical analysis Session 7 Prof. Ulrich Hetmaniuk Department of Applied Mathematics January 20, 2010

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Strategy Good strategy for AMATH 352? Attend the classes. Read the lecture notes (. .. and its appendices). Review the online slides (after the class). Start the homeworks early. Use the discussion board. Use oﬃce hours (UH, Course Assistants). UH: W 13:30 - 15:30 Course Assistants: M (10:30-11:30, 18:00-20:00), T (17:00-20:00), W (10:30-11:30, 17:00-20:00), Th (18:00-20:00). Understand the homework solutions.
Remark Deﬁnition Let V be a real linear space composed of elements . The r elements u ( 1 ) , ··· , u ( r ) V form a basis for V if and only if V = span ( u ( 1 ) , ··· , u ( r ) ) ; the r elements ( u ( 1 ) , ··· , u ( r ) ) are linearly independent. Example Which of the following sets are real linear subspaces? [. ..] When it is a real linear space, determine a basis and the dimension of the space: S = { f C 1 ( R , R ) : f 0 ( x ) = f ( x ) x R }

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Remark Homework exercise: Example Which of the following sets are real linear subspaces? [. ..] When it is a real linear space, determine a basis and the dimension of the space: S = { f C 1 ( R , R ) : f 0 ( x ) = f ( x ) x R }
Remark Homework exercise: Example Which of the following sets are real linear subspaces? [. ..] When it

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## This note was uploaded on 03/31/2010 for the course AMATH 352 taught by Professor Leveque during the Winter '07 term at University of Washington.

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Slides_2010_01_20 - Applied linear algebra and numerical...

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