ESI 4327 Matrix and Numerical Methods in Systems Engineering

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University of Florida (UF)
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Moghaddam,Saeed

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2 pages
- HW4
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering Homework Assignment 4 Problem 1 Show that L1 , L2 and L are norms. Problem 2 Find L1 , L2 and L projections of [3 4] onto span [2 1] . Problem 3 Find the following projections: [
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HW4
52 pages
- 3_Orthogonality
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Linear Algebra Chapter 3 Orthogonality Acknowledgment: Slides credit to Dr. Petar Momcilovic Vector Norms I I Norm = Distance A function Rn R such that I I I I kxk 0 kxk = 0 if and only if x =
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3_Orthogonality
54 pages
- 1_system_of_linear_equation
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Jianqiu Huang Department of Industrial and Systems Engineering University of Florida Summer C 2017 May 8, 2017 Acknowledgment: Slides credit to Dr. Petar Momcilovic Linear Algebra I Solve these
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1_system_of_linear_equation
30 pages
- 4_determinants
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Jianqiu Huang Department of Industrial and Systems Engineering University of Florida Summer C 2017 Acknowledgment: Slides credit to Dr. Petar Momcilovic Determinants Motivation I 2 2 system: a1
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4_determinants
12 pages
- hw3-solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- University of Florida Department of Industrial and Systems Engineering ESI 4327C: Matrix and Numerical Methods in Systems Engineering Spring 2016 Homework Assignment 3 Problem 1 Find the four fundamental subspaces for the following matrices: 2 0 5 3 4 1 8
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hw3-solution
10 pages
- hw2-solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C: Matrix and Numerical Methods in Systems Engineering Summer C 2017 Homework Assignment 2 Problem 1 Suppose 2 1 5 3 4 2 8 5 . A= 6 11 16 9 8 4 26 20 Find an LU factorization of A. Use the obtained factorization to solve Ax = [24 44 67 130]>
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hw2-solution
10 pages
- 0_introduction
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Jianqiu Huang Department of Industrial and Systems Engineering University of Florida Summer C 2017 May 8, 2017 Acknowledgment: Slides credit to Dr. Petar Momcilovic Prologue: about me Jianqiu H
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0_introduction
7 pages
- Lecture on 0524-Solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Jianqiu Huang Department of Industrial and Systems Engineering University of Florida Summer C 2017 May 24, 2017 Problem 1 1. If (a, b) is a multiple of (c, d) with abcd 6= 0, show that (a, c) i
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Lecture on 0524-Solution
4 pages
- hw1-practice-solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- University of Florida Department of Industrial and Systems Engineering ESI 4327C: Matrix and Numerical Methods in Systems Engineering Spring 2016 Homework Assignment 1 Problem 1 Compute the following matrix products. 1 2 1 1 , 1 0 0 1 0 1 0 1 , 0 0 0 0 1
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hw1-practice-solution
5 pages
- hw1-solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- University of Florida Department of Industrial and Systems Engineering ESI 4327C: Matrix and Numerical Methods in Systems Engineering Summer C 2017 Homework Assignment 1 Problem 1 Solve the following systems using the simple Gaussian elimination method: 3
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hw1-solution
2 pages
- hw1-questions-2017
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C: Matrix and Numerical Methods in Systems Engineering Summer C 2017 Homework Assignment 1 Problem 1 Solve the following systems using the simple Gaussian elimination method: 3x1 +2x2 x3 =1 x1 3x2 +2x3 =2 2x1 x2 +x3 =3 2x1 +x2 +x3 x4 = 3 x1 +9x2 +
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hw1-questions-2017
9 pages
- Lecture on 0524
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Jianqiu Huang Department of Industrial and Systems Engineering University of Florida Summer C 2017 May 24, 2017 Problem 1 1. If (a, b) is a multiple of (c, d) with abcd 6= 0, show that (a, c) i
- Register Now
Lecture on 0524
3 pages
- HW5
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering Homework Assignment 5 Problem 1 Compute the determinants of the following matrices 1 1 1 1 1 1 1 1 0 2 1 1 0 1 1 0 1 0 1 1 1 2 0 1 1 1 1 1 1 Problem 2 Write a MATLAB function na
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HW5
16 pages
- HW4-solution (1)
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering Homework Assignment 4 Problem 1 Show that L1 , L2 and L are norms. Answer: A norm must satisfy the following conditions (assume x, y Rn ): 1. |x| 0: n i=1 |xi |. Since by denition
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HW4-solution (1)
2 pages
- HW6
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering Homework Assignment 6 Problem 1 Diagonalize the following matrices 3 0 0 2 7 0 4 8 1 1 0 2 0 1 0 2 0 1 1 2 3 2 1 2 3 2 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 Problem 2 Represent symmet
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HW6
8 pages
- HW5-solution
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- Spring 2015, ESI 4327C: Matrix and Numerical Methods in Systems Engineering Homework Assignment 5 Problem 1 Compute the determinants of the following matrices 1 1 1 1 1 1 1 1 0 2 1 1 0 1 1 0 1 0 1 1 1 2 0 1 1 1 1 1 1 Answer: 1 1 = 1 1 (1 1) = 2 1 1 1 1 1
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HW5-solution
72 pages
- 2_vector_spaces
- University of Florida
- Matrix and Numerical Methods in Systems Engineering
- ESI 4327 - Spring 2015
- ESI 4327C Matrix and Numerical Methods in Systems Engineering Linear Algebra Chapter 2: Vector Spaces Acknowledgment: Slides credit to Dr. Petar Momcilovic Vector Spaces Vector Spaces A vector space is the association of a set V with: 1. A vector addition
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2_vector_spaces