Designed by Victor Help you improve MATRICES Let Maths take you Further… Know how to write a Matrix, Know what is Order of Matrices,

Slides:

Advertisements

Similar presentations

2.3 Modeling Real World Data with Matrices

Advertisements

Adding & Subtracting Matrices

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.

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

Algebra 2: Lesson 5 Using Matrices to Organize Data and Solve Problems.

Section 4.1 Using Matrices to Represent Data. Matrix Terminology A matrix is a rectangular array of numbers enclosed in a single set of brackets. The.

ECON 1150 Matrix Operations Special Matrices

Row rows A matrix is a rectangular array of numbers. We subscript entries to tell their location in the array Matrices are identified by their size.

8.1 Matrices and Systems of Equations. Let’s do another one: we’ll keep this one Now we’ll use the 2 equations we have with y and z to eliminate the y’s.

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

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 5 Systems and Matrices Copyright © 2013, 2009, 2005 Pearson Education, Inc.

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

If A and B are both m × n matrices then the sum of A and B, denoted A + B, is a matrix obtained by adding corresponding elements of A and B. add these.

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

Class Opener:. Identifying Matrices Student Check:

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.

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-

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.

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.

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,

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

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

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

3.5 Perform Basic Matrix Operations Add Matrices Subtract Matrices Solve Matric equations for x and y.

(4-2) Adding and Subtracting Matrices Objectives: To Add and subtract Matrices To solve certain Matrix equations.

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

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

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

If A and B are both m × n matrices then the sum of A and B, denoted A + B, is a matrix obtained by adding corresponding elements of A and B. add these.

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

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

College Algebra Chapter 6 Matrices and Determinants and Applications

12-1 Organizing Data Using Matrices

Matrix Operations Free powerpoints at

Matrix Operations.

Matrix Operations.

Matrix Operations Free powerpoints at

Matrix Operations Monday, August 06, 2018.

Matrix Operations.

Matrix Operations SpringSemester 2017.

Matrix Operations Free powerpoints at

Matrix Algebra.

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.

MATRICES MATRIX OPERATIONS.

4.1 Matrices – Basic Operations

MATRICES MATRIX OPERATIONS.

2.2 Introduction to Matrices

Matrix Algebra.

3.5 Perform Basic Matrix Operations

Chapter 4 Matrices & Determinants

Matrix Operations Ms. Olifer.

What is the dimension of the matrix below?

Matrix Operations SpringSemester 2017.

3.5 Perform Basic Matrix Operations Algebra II.

Presentation transcript:

Designed by Victor Help you improve MATRICES Let Maths take you Further… Know how to write a Matrix, Know what is Order of Matrices, Addition and Subtraction of Matrices, Multiplication of Matrices, Using Matrices to solve simultaneous equations (Find determinant, Inverse)

Comparison ADDMath Designed by Victor Help you improve WHAT IS MATRICES? A matrix is a rectangular array of data entries (elements) displayed in rows and columns and enclosed in brackets, The number of rows and columns in the matrix determines its dimensions. COLUMN1COLUMN2COLUMN3COLUMN4 ROW ROW ROW ROW This is a 4 x 4 matrix Because you have 4 rows and 4 columns Row 1 Row 2 Row 3 Row n Column1Column2Column3Column n

Comparison ADDMath Designed by Victor Help you improve ADDITION & SUBTRACTION of MATRICES To add or subtract 2 or more matrices, we must be sure that we have the same frame. That is, the same number of rows and columns. Given that, so, Observation 2:

Comparison ADDMath Designed by Victor Help you improve SCALAR MULTIPLICATION OF MATRICES Properties of scalar multiplication

Comparison ADDMath Designed by Victor Help you improve MULTIPLICATION OF MATRICES The multiplication of matrices is easier shown than put into words. You multiply the rows of the first matrix with the columns of the second adding products This figure illustrates diagrammatically the product of two matrices A and B, showing how each intersection in the product matrix corresponds to a row of A and a column of B. MUST BE SAME SIZE OF PRODUCT

Comparison ADDMath Designed by Victor Help you improve MULTIPLICATION OF MATRICES (3 × 3) + (4 × 1) = 13(3 × 2) + (4 × 1) = 10 (1 × 2) + (3 × 1) = 5(1 × 2) + (2 × 1) = 4 MUST BE SAME SIZE OF PRODUCT properties of matrix multiplication

Comparison ADDMath Designed by Victor Help you improve MULTIPLICATION OF MATRICES properties of matrix multiplication Given that and

Comparison ADDMath Designed by Victor Help you improve IDENTITY MATRIX (UNIT MATRIX) A square matrix whose elements along the diagonal from the upper left-hand corner to the bottom right-hand corner are all 1s while the other elements are all 0s is known as an identity matrix Example 11 State whether each of the following matrices is an identity matrix: (a) (b) (c)

Comparison ADDMath Designed by Victor Help you improve Solution: a) b)

Comparison ADDMath Designed by Victor Help you improve SOLVE SIMULTANEOUS EQUATIONS coefficient matrix variable matrix constant matrix