Lecture25 - Algorithms in Systems Engineering IE170 Lecture...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Algorithms in Systems Engineering IE170 Lecture 25 Dr. Ted Ralphs
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
IE170 Lecture 25 1 References for Today’s Lecture Required reading CLRS Chapter 28
Background image of page 2
IE170 Lecture 25 2 Vectors and Matrices Vectors and matrices are constructs that arise naturally in many applications. Operating on vectors and matrices requires numerical algorithms. An m × n matrix is an array of mn real numbers: A = a 11 a 12 ··· a 1 n a 21 a 22 ··· a 2 n . . . . . . . . . a m 1 a m 2 ··· a mn A is said to have n columns and m rows . An n -dimensional column vector is a matrix with one column. An n -dimensional row vector is a matrix with one row . By default, a vector will be considered a column vector. The set of all n -dimensional vectors will be denoted R n . The set of all m × n matrices will be denoted R m × n .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
IE170 Lecture 25 3 Matrices The transpose of a matrix A is A T = a 11 a 21 ··· a m 1 a 12 a 22 ··· a
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/29/2008 for the course IE 170 taught by Professor Ralphs during the Spring '07 term at Lehigh University .

Page1 / 8

Lecture25 - Algorithms in Systems Engineering IE170 Lecture...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online