Table of Contents Matrices - Definition and Notation A matrix is a rectangular array of numbers. Consider the following matrix: Matrix B has 3 rows and.

Slides:

Advertisements

Similar presentations

Chapter Matrices Matrix Arithmetic

Advertisements

Applied Informatics Štefan BEREŽNÝ

Maths for Computer Graphics

“No one can be told what the matrix is…

Module 6 Matrices & Applications Chapter 26 Matrices and Applications I.

Matrices MSU CSE 260.

Arithmetic Operations on Matrices. 1. Definition of Matrix 2. Column, Row and Square Matrix 3. Addition and Subtraction of Matrices 4. Multiplying Row.

Table of Contents Matrices - Multiplication Assume that matrix A is of order m  n and matrix B is of order p  q. To determine whether or not A can be.

CE 311 K - Introduction to Computer Methods Daene C. McKinney

Table of Contents Matrices - Inverse of a 2  2 Matrix To find the inverse of a 2  2 matrix, use the following pattern. Let matrix A be given by... Then.

Table of Contents Matrices - Inverse Matrix Definition The inverse of matrix A is a matrix A -1 such that... and Note that... 1) For A to have an inverse,

Table of Contents Matrices - Inverse of a 3  3 Matrix Recall that to find an inverse of a 2  2 matrix, apply the formula... The formula for the inverse.

Table of Contents Solving Systems of Linear Equations - Gaussian Elimination The method of solving a linear system of equations by Gaussian Elimination.

TH EDITION LIAL HORNSBY SCHNEIDER COLLEGE ALGEBRA.

Copyright © Cengage Learning. All rights reserved. 7.4 Matrices and Systems of Equations.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Chapter 8 Matrices and Determinants Copyright © 2014, 2010, 2007 Pearson Education, Inc Matrix Operations and Their Applications.

Matrices. A matrix, A, is a rectangular collection of numbers. A matrix with “m” rows and “n” columns is said to have order m x n. Each entry, or element,

Copyright © 2011 Pearson, Inc. 7.2 Matrix Algebra.

13.1 Matrices and Their Sums

Company LOGO Chapter 1: Matrix, Determinant, System of linear equations Module 1: Matrix Natural Science Department Example 1: The following rectangular.

The goal is to give an introduction to the mathematical operations with matrices. A matrix is a 2-dimensional arrangement of (real valued) data. The data.

Chapter 6 Matrices and Determinants Copyright © 2014, 2010, 2007 Pearson Education, Inc Matrix Operations and Their Applications.

Meeting 18 Matrix Operations. Matrix If A is an m x n matrix - that is, a matrix with m rows and n columns – then the scalar entry in the i th row and.

Slide Copyright © 2009 Pearson Education, Inc. 7.3 Matrices.

CSCI 171 Presentation 9 Matrix Theory. Matrix – Rectangular array –i th row, j th column, i,j element –Square matrix, diagonal –Diagonal matrix –Equality.

Matrices Section 2.6. Section Summary Definition of a Matrix Matrix Arithmetic Transposes and Powers of Arithmetic Zero-One matrices.

Matrices: Simplifying Algebraic Expressions Combining Like Terms & Distributive Property.

3.6 Solving Systems Using Matrices You can use a matrix to represent and solve a system of equations without writing the variables. A matrix is a rectangular.

Matrix Operations.

CSNB143 – Discrete Structure Topic 3 – Matrices. Learning Outcomes Students should understand all matrices operations. Students should be able to differentiate.

Copyright © Cengage Learning. All rights reserved. 2 SYSTEMS OF LINEAR EQUATIONS AND MATRICES Warm Up Read pp up to and including the box labeled.

Sec 4.1 Matrices.

Algebra Matrix Operations. Definition Matrix-A rectangular arrangement of numbers in rows and columns Dimensions- number of rows then columns Entries-

Matrices Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 A matrix is a rectangular array of real numbers. Each entry.

Matrices and Matrix Operations. Matrices An m×n matrix A is a rectangular array of mn real numbers arranged in m horizontal rows and n vertical columns.

What is a Matrices? A matrix is a rectangular array of data entries (elements) displayed in rows and columns and enclosed in brackets. The number of rows.

LEARNING OUTCOMES At the end of this topic, student should be able to :  D efination of matrix  Identify the different types of matrices such as rectangular,

Determinants Every n  n matrix A is associated with a real number called the determinant of A, written  A . The determinant of a 2  2 matrix.

4.1 An Introduction to Matrices Katie Montella Mod. 6 5/25/07.

Systems of Equations and Matrices Review of Matrix Properties Mitchell.

Precalculus Section 14.1 Add and subtract matrices Often a set of data is arranged in a table form A matrix is a rectangular.

Where do you sit?. What is a matrix? How do you classify matrices? How do you identify elements of a matrix?

Section 2.4. Section Summary  Sequences. o Examples: Geometric Progression, Arithmetic Progression  Recurrence Relations o Example: Fibonacci Sequence.

Chapter 4 Section 1 Organizing Data into Matrices.

Matrix Algebra Definitions Operations Matrix algebra is a means of making calculations upon arrays of numbers (or data). Most data sets are matrix-type.

Matrices. Variety of engineering problems lead to the need to solve systems of linear equations matrixcolumn vectors.

CS 285- Discrete Mathematics Lecture 11. Section 3.8 Matrices Introduction Matrix Arithmetic Transposes and Power of Matrices Zero – One Matrices Boolean.

Introduction Types of Matrices Operations

Matrices and systems of Equations. Definition of a Matrix * Rectangular array of real numbers m rows by n columns * Named using capital letters * First.

A rectangular array of numeric or algebraic quantities subject to mathematical operations. The regular formation of elements into columns and rows.

A very brief introduction to Matrix (Section 2.7) Definitions Some properties Basic matrix operations Zero-One (Boolean) matrices.

Matrices. Matrix A matrix is an ordered rectangular array of numbers. The entry in the i th row and j th column is denoted by a ij. Ex. 4 Columns 3 Rows.

Properties and Applications of Matrices

Lesson 43: Working with Matrices: Multiplication

12-1 Organizing Data Using Matrices

Unit 1: Matrices Day 1 Aug. 7th, 2012.

Matrices - Addition and Subtraction

Matrix Operations.

Matrix Operations.

Matrices and Data Holt Algebra 2.

Matrices and Systems of Equations 8.1

Matrices Elements, Adding and Subtracting

MATRICES MATRIX OPERATIONS.

Section 2.4 Matrices.

Matrices and Data Holt Algebra 2.

Matrix A matrix is a rectangular arrangement of numbers in rows and columns Each number in a matrix is called an Element. The dimensions of a matrix are.

Presentation transcript:

Table of Contents Matrices - Definition and Notation A matrix is a rectangular array of numbers. Consider the following matrix: Matrix B has 3 rows and 4 columns, and is said to have order 3  4 (three by four). The numbers in the matrix are called entries or elements of the matrix.

Table of Contents Slide 2 The general form of a matrix can be written as... Each entry is denoted a ij where i represents the row of the entry and j represents the column of the entry. Matrices - Definition and Notation

Table of Contents Slide 3 Example: Let matrix C be given by... Matrix C has order... 5  3 or 5 rows and 3 columns. The entry a 32 is... since the row 3 column 2 entry is 6. 6 The entry a 41 is... since the row 4 column 1 entry is Matrices - Definition and Notation

Table of Contents Matrices - Definition and Notation