'Nxn matrix' diaporamas de présentation

MA/CS 375

Sit in your groups. MA/CS 375. Fall 2002 Lecture 18. Projects?. Demo from each group. Matrices and Systems. Recall. Given a matrix M then if it exists the inverse of a matrix M-1 is that matrix which satisfies:. Examples. If what is

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MAT 2401 Linear Algebra

MAT 2401 Linear Algebra. 3.1 The Determinant of a Matrix. http://myhome.spu.edu/lauw. HW. WebAssign 3.1 Written Homework. Preview. How do I know a matrix is invertible ? We will look at determinant that tells us the answer. Recall. If D=ad-bc ? 0 the inverse of

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MAT 2401 Linear Algebra

MAT 2401 Linear Algebra. 3.1 The Determinant of a Matrix. http://myhome.spu.edu/lauw. HW. WebAssign 3.1 Written Homework. Preview. How do I know a matrix is invertible ? We will look at determinant that tells us the answer. Recall. If D=ad-bc ? 0 the inverse of

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Econometrics I

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Reduction between Transitive Closure & Boolean Matrix Multiplication

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Math 307 Spring, 2003 Hentzel Time: 1:10-2:00 MWF Room: 1324 Howe Hall

Math 307 Spring, 2003 Hentzel Time: 1:10-2:00 MWF Room: 1324 Howe Hall Instructor: Irvin Roy Hentzel Office 432 Carver Phone 515-294-8141 E-mail: hentzel@iastate.edu http://www.math.iastate.edu/hentzel/class.307.ICN Text: Linear Algebra With Applications,

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State space model

State space model. State space model: linear: where: u: input y: output x: state vector A,B,C,D, or F,G,H,J are const matrices. If dim(x) = n, we say system order = n A is nxn matrix, called system matrix System property largely determined by properies of A.

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Chapter 1. Linear equations

Chapter 1. Linear equations. Review of matrix theory Fields System of linear equations Row-reduced echelon form Invertible matrices. Fields. Field F, +, ? F is a set. +:FxF?F, ?:FxF?F x+y = y+x, x+(y+z)=(x+y)+z unique 0 in F s.t. x+0=x unique -x s.t. x+(-x) = 0

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Printing

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Markov Models

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LU Decomposition

LU Decomposition. Method If an nxn matrix A has an LU-factorization, then the solution of AX = b can be determined by a Forward substitution followed by a Back substitution [ A ] = [ L ][ U ] where [ L ] = lower triangular matrix all of whose diagonal

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MATLAB Programming

MATLAB Programming. Matrix Manipulation Plotting. Matrix generation eye ones zeros diag rand repmat reshape. Vector generation linspace equi-spacing. Matrix creation. Exercise. matrix creation. rand. rand(m,n)

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Economics 214

Matrices Lecture 3. Economics 214 . Determinant. a) Let us stipulate that the determinant of a (1x1) matrix is the numerical value of the sole element of the matrix. b) For a 2x2 matrix A (given below), we will define the determinant of A , noted det( A ) or | A |, to be ad-bc. Cofactor.

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Distributed Information Systems (CSCI 5533) Presentation ID: 19

Distributed Information Systems (CSCI 5533) Presentation ID: 19. Clustering Algorithm Submitted to: Dr. Liaw, Morris Submitted by: Kumar, Manoj. Algorithm 5.3 BEA. Input: AA : attribute affinity matrix Output: CA : clustered affinity matrix Begin { initialize; AA is an nxn matrix}

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Lecture 5-1. The Incompressibility Method, continued

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Section 4.4

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Fundamentals of Engineering Analysis

Inverse of Matrix. Gauss-Jordan Elimination Part 5. Fundamentals of Engineering Analysis. Eng. Hassan S. Migdadi. Inverses of Matrices. Where A is nxn. Finding the inverse of A:. Seq or row operations. Finding the inverse of A:. A. Find inverse. Def: A is invertable if.

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Neural Network Training Using MATLAB

Neural Network Training Using MATLAB. Phuong Ngo School of Mechanical Engineering Purdue University. Neural Network Toolbox. Available Models in MATLAB: Feedforward Neural Networks Adaptive Neural Network Filters Perceptron Neural Networks Radial Basis Neural Networks

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Warm-up

Warm-up. 2 3 -1 A = 0 -5 4 B = -7 1 0 2 6 -6 2 C = 9 4 D = -3 2 -1. 1. Find 8A 2. Find AC 3. Find CD 4. Find BD. 2x2 Matrices, Determinants, and Inverses. Goal ? To evaluate determinants and inverses of 2x2 matrices and to use inverse matrices to solve equations

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