Chapter 4 Section 1 Organizing Data into Matrices.

Slides:

Advertisements

Similar presentations

2.3 Modeling Real World Data with Matrices

Advertisements

Section 13-4: Matrix Multiplication

Section 4-1 Organizing Data Into Matrices. AA matrix (plural matrices) is a rectangular array of numbers written within brackets. AA matrix is represented.

Chapter 4 Systems of Linear Equations; Matrices Section 2 Systems of Linear Equations and Augmented Matrics.

1 Systems of Linear Equations & Matrices Sections 4.2 & 4.3 After today’s lesson, you will be able to Use terms associated with matrices. Set up and solve.

The table shows the top scores for girls in barrel racing at the 2004 National High School Rodeo finals. The data can be presented in a table or a spreadsheet.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 4-1 Systems of Equations and Inequalities Chapter 4.

Ch. 4-1 Organizing Data into Matrices. Matrix: a rectangular array of numbers written within brackets The dimensions of a matrix is determined by the.

Matrix Multiplication To Multiply matrix A by matrix B: Multiply corresponding entries and then add the resulting products (1)(-1)+ (2)(3) Multiply each.

Maths for Computer Graphics

Wednesday, July 15, 2015 EQ: What are the similarities and differences between matrices and real numbers ? Warm Up Evaluate each expression for a = -5,

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

12.1 Addition of Matrices. Matrix: is any rectangular array of numbers written within brackets; represented by a capital letter; classified by its dimensions.

Section 8.1 – Systems of Linear Equations

Chapter 2 Systems of Linear Equations and Matrices Section 2.4 Multiplication of Matrices.

1 Systems of Linear Equations & Matrices Sections 4.2 & 4.3 After today’s lesson, you will be able to Use terms associated with matrices. Set up and solve.

Determinants 2 x 2 and 3 x 3 Matrices. Matrices A matrix is an array of numbers that are arranged in rows and columns. A matrix is “square” if it has.

4.2 Operations with Matrices Scalar multiplication.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Unit 2: What is a matrix – really?

Chapter 6 Matrices and Determinants Copyright © 2014, 2010, 2007 Pearson Education, Inc Matrix Solutions to Linear Systems.

Lesson 11-1 Matrix Basics and Augmented Matrices Objective: To learn to solve systems of linear equation using matrices.

Section 3.6 – Solving Systems Using Matrices

Section 9.4 Systems of Linear Equations: Matrices

Class Opener:. Identifying Matrices Student Check:

Slide Copyright © 2009 Pearson Education, Inc. 7.3 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.

Unit 1 MATRICES Dr. Shildneck Fall, WHAT IS A MATRIX? A Matrix is a rectangular array of numbers placed inside brackets. A Matrix is a rectangular.

Section 9-1 An Introduction to Matrices Objective: To perform scalar multiplication on a matrix. To solve matrices for variables. To solve problems using.

Chapter 1 Section 1.5 Matrix Operations. Matrices A matrix (despite the glamour of the movie) is a collection of numbers arranged in a rectangle or an.

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.

14.1 Matrix Addition and Scalar Multiplication OBJ:  To find the sum, difference, or scalar multiples of matrices.

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

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?

Chapter 5: Matrices and Determinants Section 5.1: Matrix Addition.

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

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.

13.4 Product of Two Matrices

Sections 2.4 and 2.5 Matrix Operations

12-1 Organizing Data Using Matrices

Multiplying Matrices.

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

What we’re learning today:

Matrix Multiplication

Matrix Operations.

Multiplying Matrices.

Introduction to Matrices

Warmup Solve each system of equations. 4x – 2y + 5z = 36 2x + 5y – z = –8 –3x + y + 6z = 13 A. (4, –5, 2) B. (3, –2, 4) C. (3, –1, 9) D. no solution.

4-1 Organizing Data Into Matrices

Matrices Elements, Adding and Subtracting

MATRICES MATRIX OPERATIONS.

Unit 1 MATRICES Dr. Shildneck Fall, 2015.

Multiplying Matrices.

12.1 Addition of Matrices.

3.6 Multiply Matrices.

Chapter 4 Matrices & Determinants

Section 8.1 – Systems of Linear Equations

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.

Multiplying Matrices.

Multiplying Matrices.

Multiplying Matrices.

Presentation transcript:

Chapter 4 Section 1 Organizing Data into Matrices

Matrix – (plural: matrices) is a rectangular array of numbers written within brackets Represented by a CAPITAL letter Classified by dimensions rows X columns by

Matrix A 2 X 3 Rows Columns

What are the dimensions of each matrix? 3 X 3 1 X 3 4 X 1

Matrix Element – each number in a matrix Matrix Element – each number in a matrix Identified with a lower case letter with subscripts of row and column Identified with a lower case letter with subscripts of row and column Identify each matrix element. g 22 g 13 g 21 Element g 12 is in the first row and second column

Book Examplesp. 165 & p. 166