Lecture Slides 8

# Lecture Slides 8 - AMS 210: Applied Linear Algebra Fall...

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AMS 210: Applied Linear Algebra Fall 2009 September 24, 2009 AMS 210

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Topics Today No Class Next Tuesday Problem Set 4 Matrix Algebra Transpose of a Matrix and Symmetric Matrices Scalar Products of Columns as a Similarity Measure Diagonal Matrices Rules of Vector and Matrix Algebra Scalar Measures of a Matrix Theorems on Sum and Max Norms AMS 210
No Class Next Tuesday Yom Kippur is observed on Monday, September 28, so Tuesday, September 29th adopts the Monday schedule. This course section does not meet Monday, so neither does it meet on the 29th. AMS 210

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Problem Set 4 This week’s problem set is due next Thursday, October 1. Read sections 2.3, 2.4, and 2.5. Exercises: 2.3: 11, 14, 15; 2.4: 1, 3, 5ab, 6ab, 8, 20; 2.5: 3, 4, 6ab, 8, 9ab Show work. AMS 210
Set of rules for manipulating expressions containing matrices whilst maintaining invariants. Similar to algebra on scalars, has a multiplicative identity element: the identity matrix. Consists of a square matrix with 1’s along the main diagonal and 0’s elsewhere. A vector or matrix multiplied by the identity matrix is unchanged. AMS 210

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## This note was uploaded on 12/06/2011 for the course AMS 211 taught by Professor Shuaixue during the Fall '09 term at SUNY Stony Brook.

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Lecture Slides 8 - AMS 210: Applied Linear Algebra Fall...

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