4.1 Introduction to Matrices

Slides:

Advertisements

Similar presentations

Adding & Subtracting Matrices

Advertisements

Maths for Computer Graphics

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

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

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

ECON 1150 Matrix Operations Special Matrices

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

Unit 6 : Matrices.

10.4 Matrix Algebra 1.Matrix Notation 2.Sum/Difference of 2 matrices 3.Scalar multiple 4.Product of 2 matrices 5.Identity Matrix 6.Inverse of a matrix.

Unit 3: Matrices.

13.1 Matrices and Their Sums

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

Class Opener:. Identifying Matrices Student Check:

4.4 Identify and Inverse Matrices Algebra 2. Learning Target I can find and use inverse matrix.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 7.3 Matrices.

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.

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

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

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

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.

MATRIX A set of numbers arranged in rows and columns enclosed in round or square brackets is called a matrix. The order of a matrix gives the number of.

Linear System of Simultaneous Equations Warm UP First precinct: 6 arrests last week equally divided between felonies and misdemeanors. Second precinct:

Unit 3: Matrices. Matrix: A rectangular arrangement of data into rows and columns, identified by capital letters. Matrix Dimensions: Number of rows, m,

Do Now: Perform the indicated operation. 1.). Algebra II Elements 11.1: Matrix Operations HW: HW: p.590 (16-36 even, 37, 44, 46)

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

Matrices. Matrix - a rectangular array of variables or constants in horizontal rows and vertical columns enclosed in brackets. Element - each value in.

MATRICES. Introduction Matrix algebra has several uses in economics as well as other fields of study. One important application of Matrices is that it.

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

College Algebra Chapter 6 Matrices and Determinants and Applications

MTH108 Business Math I Lecture 20.

Multiplying Matrices.

Matrix Operations.

ECON 213 Elements of Mathematics for Economists

Introduction to Matrices

Matrix Operations.

Introduction To Matrices

Matrix Operations Monday, August 06, 2018.

Matrix Operations.

Matrix Operations SpringSemester 2017.

Warm-up a. Solve for k: 13 −5

MATRICES MATRIX OPERATIONS.

الوحدة السابعة : المصفوفات . تنظيم البيانات فى مصفوفات . الوحدة السابعة : المصفوفات . تنظيم البيانات فى مصفوفات . 1 جمع المصفوفات وطرحها.

Introduction to Matrices

MATRICES MATRIX OPERATIONS.

Unit 3: Matrices

MATRICES MATRIX OPERATIONS.

2.2 Introduction to Matrices

RECORD. RECORD COLLABORATE: Discuss: Is the statement below correct? Try a 2x2 example.

Presented By Farheen Sultana Ist Year I SEM

3.5 Perform Basic Matrix Operations

3.6 Multiply Matrices.

Chapter 4 Matrices & Determinants

MATRICES MATRIX OPERATIONS.

MATRICES MATRIX OPERATIONS.

Matrix Operations Ms. Olifer.

Matrix Operations SpringSemester 2017.

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:

4.1 Introduction to Matrices

About Matrices A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically. The dimensions, or size, of a matrix are: # of rows X # of columns.

Special Matrices Some matrices have special names because of what they look like. Row matrix: only has 1 row. Column matrix: only has 1 column. Square matrix: has the same number of rows and columns. Zero matrix: contains all zeros. Identity matrix: 1’s going down the main diagonal and zeros everywhere else

Dimensions: 4x1 COLUMN MATRIX Dimensions: 3x2 Find the dimensions of each matrix. Dimensions: 4x1 COLUMN MATRIX Dimensions: 3x2 Dimensions: 2x4

Using Matrices to Solve Equations Equal Matrices - two matrices that have the same dimensions and each element of one matrix is equal to the corresponding element of the other matrix. *The definition of equal matrices can be used to find values when elements of the matrices are algebraic expressions.

Examples: Find the values for x and y * Since the matrices are equal, the corresponding elements are equal! Step 1: Form two linear equations. Step 2: Solve the system using any method.

Plug y in to get x. Now check your answer:

Set each element equal and solve!