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lecture_11 - Lecture 11 Comp 116 Feb 11th 2009 Objectives...

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Click to edit Master subtitle style 10/6/09 Lecture 11 Comp 116 Feb 11th , 2009
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10/6/09 Objectives Linear Algebra vector multiplication matrix multiplication solving systems of linear equations linear least squares
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10/6/09 Administrative stuff Collect your quiz 1 and assignment 1 Don’t leave your doubts till the last minute. Ask questions, use office hours My office hours Monday: 3:30 - 4:30 pm Thursday: 10:00 - 11:00 am SN 228 Chen-Rui Chou (TA) office hours
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10/6/09 Linear Algebra
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10/6/09 Recap So far... Creation, indexing, modifying Element-wise arithmetic 1 2 3 4 1 2 3 4
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10/6/09 Vector Math Vector multiplication dot product * = c b 1 a 1 a 2 a 3 a 4 b 2 b 3 b 4
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10/6/09 Vector Product Dot product Geometrical interpretation Projection of one vector onto another
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10/6/09 Matrix Math Matrix multiplication c ij = k = 1 n a ik b kj
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10/6/09 Matrix Math Square of a matrix
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10/6/09 Matrix Math Identity matrix 1 0 0 * 0 1 0 = 0 0 1 I A A AI = A
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10/6/09 Matrix Math Inverse 1 0 0 * = 0 1 0 0 0 1 A I A -1 AA 1 = A 1 A = I
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10/6/09 Linear Equations
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10/6/09 Linear equations: Solving A x = b A-1A x = A-1b I x = A-1b x = A-1b x = A \ b
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