2.3 MODELING REAL WORLD DATA WITH MATRICES By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students.

Slides:



Advertisements
Similar presentations
Objective Video Example by Mrs. G Give It a Try Lesson 4.1  Add and subtract matrices  Multiply a matrix by a scalar number  Solve a matrix equation.
Advertisements

Warm-up 1.Review notes from Friday. 2.What is the dimension of the matrix below?
4.2 Adding and Subtracting Matrices 4.3 Matrix Multiplication
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
4.2 Operations with Matrices Scalar multiplication.
Algebra 2: Lesson 5 Using Matrices to Organize Data and Solve Problems.
Do Now 1/13/12  In your notebook, list the possible ways to solve a linear system. Then solve the following systems. 5x + 6y = 50 -x + 6y = 26 -8y + 6x.
Inverses and Systems Section Warm – up:
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
Algebra 3: Section 5.5 Objectives of this Section Find the Sum and Difference of Two Matrices Find Scalar Multiples of a Matrix Find the Product of Two.
AIM: How do we perform basic matrix operations? DO NOW:  Describe the steps for solving a system of Inequalities  How do you know which region is shaded?
Class Opener:. Identifying Matrices Student Check:
Copyright © Cengage Learning. All rights reserved. 7 Linear Systems and Matrices.
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)
8.2 Operations With Matrices
Matrices: Simplifying Algebraic Expressions Combining Like Terms & Distributive Property.
Multiplying Matrices Algebra 2—Section 3.6. Recall: Scalar Multiplication - each element in a matrix is multiplied by a constant. Multiplying one matrix.
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-
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.
 Recall that when you wanted to solve a system of equations, you used to use two different methods.  Substitution Method  Addition Method.
Section 4.3 – Multiplying Matrices. MATRIX MULTIPLICATION 1. The order makes a difference…AB is different from BA. 2. The number of columns in first matrix.
Section – Operations with Matrices No Calculator By the end of this lesson you should be able to: Write a matrix and identify its order Determine.
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.
Do Now: Perform the indicated operation. 1.). Algebra II Elements 11.1: Matrix Operations HW: HW: p.590 (16-36 even, 37, 44, 46)
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.
Add and subtract matrices. Multiply by a matrix scalar.
Warm-UP A = 7-310B = C =7-4Find:A 22 and C 31 97Find: the dimensions of each -88 Matrix Find: A + B and B – A and C + B.
A rectangular array of numeric or algebraic quantities subject to mathematical operations. The regular formation of elements into columns and rows.
Ch. 12 Vocabulary 1.) matrix 2.) element 3.) scalar 4.) scalar multiplication.
13.4 Product of Two Matrices
12-1 Organizing Data Using Matrices
Multiplying Matrices.
Christmas Packets are due on Friday!!!
Matrix Operations Free powerpoints at
Matrix Operations.
Mr. Hartzer, Hamtramck High School
Matrix Operations.
Matrix Operations Free powerpoints at
Warm-Up - 8/30/2010 Simplify. 1.) 2.) 3.) 4.) 5.)
Matrix Multiplication
Matrix Operations Monday, August 06, 2018.
Matrix Operations.
Multiplying Matrices Algebra 2—Section 3.6.
Matrix Operations SpringSemester 2017.
Matrix Operations Free powerpoints at
Multiplying Matrices.
WarmUp 2-3 on your calculator or on paper..
7.3 Matrices.
Matrices Elements, Adding and Subtracting
4.1 Matrices – Basic Operations
MATRICES MATRIX OPERATIONS.
2.2 Introduction to Matrices
Objectives Multiply two matrices.
Multiplying Matrices.
3.5 Perform Basic Matrix Operations
Matrices.
Chapter 4 Matrices & Determinants
1.8 Matrices.
What is the dimension of the matrix below?
Matrix Operations SpringSemester 2017.
1.8 Matrices.
Multiplying Matrices.
3.5 Perform Basic Matrix Operations Algebra II.
Multiplying Matrices.
Introduction to Matrices
Multiplying Matrices.
Presentation transcript:

2.3 MODELING REAL WORLD DATA WITH MATRICES By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Recall: Systems of Equations Solve by graphing: Solve by substitution : Solve by elimination :

What do matrices do?

Addition and Subtraction of matrices Matrices of the SAME dimensions may be added or subtracted. Corresponding elements are combined by the given rule. Scalar multiple: a constant multiplied by each element in a matrix

Example 1:Find the sum/difference for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Example 1:Find the sum/difference for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Multiplying Matrices Matrix multiplication requires matching rows and columns to make proper dimensions. Product each corresponding term and sum the entire row/column.

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Example 2:Find the product for each, if possible. By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip

Summary By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.

Summary By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students will demonstrate this by completion of an exit slip.