4.1 Exploring Data: Matrix Operations ©2001 by R. Villar All Rights Reserved.

Slides:

Advertisements

Similar presentations

2.3 Modeling Real World Data with Matrices

Advertisements

Section 13-4: Matrix Multiplication

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

PRESENTER: CARLA KIRKLAND Algebra I Remediation. NUMBER SENSE and OPERATIONS.

100’s of free ppt’s from library

Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.

4-1 Matrices and Data Warm Up Lesson Presentation Lesson Quiz

Unit 6 : Matrices.

13.1 Matrices and Their Sums

Operations with Matrices

4.1: Matrix Operations Objectives: Students will be able to: Add, subtract, and multiply a matrix by a scalar Solve Matrix Equations Use matrices to organize.

Copyright © Cengage Learning. All rights reserved. 7 Linear Systems and Matrices.

Matrix Operations.

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.

Matrix Algebra Section 7.2. Review of order of matrices 2 rows, 3 columns Order is determined by: (# of rows) x (# of columns)

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

Matrix Operations.

MATRIX: A rectangular arrangement of numbers in rows and columns. The ORDER of a matrix is the number of the rows and columns. The ENTRIES are the numbers.

Section 3.5 Revised ©2012 |

MATRICES MATRIX OPERATIONS. About Matrices  A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run.

Sec 4.1 Matrices.

Copyright © Cengage Learning. All rights reserved. 2 SYSTEMS OF LINEAR EQUATIONS AND 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.

What is Matrix Multiplication? Matrix multiplication is the process of multiplying two matrices together to get another matrix. It differs from scalar.

Chapter 4: Matrices Lesson 1: using Matrices to Represent Data  Objectives: –Represent mathematical and real-world data in a matrix. –Find sums and differences.

4-3 Matrix Multiplication Objective: To multiply a matrix by a scalar multiple.

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

Matrix – is a rectangular arrangement of numbers in rows and columns. Dimensions – Size – m is rows, n is columns. m x n ( row ∙ column) Elements – The.

Matrix Operations McDougal Littell Algebra 2 Larson, Boswell, Kanold, Stiff Larson, Boswell, Kanold, Stiff Algebra 2: Applications, Equations, Graphs Algebra.

Add and subtract matrices. Multiply by a matrix scalar.

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

13.3 Product of a Scalar and a Matrix.  In matrix algebra, a real number is often called a.  To multiply a matrix by a scalar, you multiply each entry.

Matrix Operations McDougal Littell Algebra 2 Larson, Boswell, Kanold, Stiff Larson, Boswell, Kanold, Stiff Algebra 2: Applications, Equations, Graphs Algebra.

Ch. 12 Vocabulary 1.) matrix 2.) element 3.) scalar 4.) scalar multiplication.

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.

Matrix Operations McDougal Littell Algebra 2

Lesson 43: Working with Matrices: Multiplication

12-1 Organizing Data Using Matrices

Christmas Packets are due on Friday!!!

10.4 The Algebra of Matrices

Matrix Operations Free powerpoints at

Matrix Operations.

Matrix Operations.

Matrix Operations Free powerpoints at

What we’re learning today:

Matrix Operations Monday, August 06, 2018.

Matrix Operations.

Matrix Operations SpringSemester 2017.

Matrix Operations.

Section 7.4 Matrix Algebra.

Matrix Operations Free powerpoints at

MULTIPLYING TWO MATRICES

MATRICES MATRIX OPERATIONS.

Matrix Operations.

4.1 Matrices – Basic Operations

MATRICES MATRIX OPERATIONS.

Section 2.4 Matrices.

2.2 Introduction to Matrices

Objectives Multiply two matrices.

Copyright © 2006 Brooks/Cole, a division of Thomson Learning, Inc.

3.5 Perform Basic Matrix Operations

Chapter 4 Matrices & Determinants

MATRICES MATRIX OPERATIONS.

Matrix Operations Ms. Olifer.

Matrix Operations SpringSemester 2017.

3.5 Perform Basic Matrix Operations Algebra II.

Presentation transcript:

4.1 Exploring Data: Matrix Operations ©2001 by R. Villar All Rights Reserved

Exploring Data: Matrix Operations Matrix: rectangular arrangement of numbers into rows and columns. This is a 2 X 3 matrix (Two rows, 3 columns) The numbers in the matrix are called entries. This is a 3 X 3 matrix (Three rows, 3 columns)

Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 198´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´ 85198

Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 19´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´

Arrange the following data into a matrix. The length and width of various football fields are given: Arena85´ by 19´ College 160´ by 360´ US Pro 160´ by 360´ Canadian 195´ by 450´

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries.

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries.

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 8

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 8

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 89

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 89

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 89 2

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries. 89 2

Ex. Find the sum of the matrices: 2– –1–6 The solution will be another matrix. Add corresponding entries

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4

–7

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4 –7 –3

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4 –7 –3–6

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4 –7 –3–6 3

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4 –7 –3–6 3 4

Ex. Find the difference of the matrices: –1 0–4 – –1–1 4 –7 –3–6 3 4 –4

In matrix algebra, a real number is called a scalar. A matrix may be multiplied by a scalar by multiplying each entry in the matrix by the scalar (similar to the distributive property). Example: Multiply each entry by the scalar.