Multiplying Matrices GSE Accelerated Pre-Calculus Keeper 2.

Slides:



Advertisements
Similar presentations
Matrix.
Advertisements

2.3 Modeling Real World Data with Matrices
Section 13-4: Matrix Multiplication
Section 4.2 – Multiplying Matrices Day 2
Matrix Multiplication To Multiply matrix A by matrix B: Multiply corresponding entries and then add the resulting products (1)(-1)+ (2)(3) Multiply each.
Table of Contents Matrices - Multiplication Assume that matrix A is of order m  n and matrix B is of order p  q. To determine whether or not A can be.
Fundamentals of matrices
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
Different Types of Fields to Describe the Earth. Anisotropy, heterogeneity SEM of shale (Josh et al., 2012)
Warm-Up 1) 2) 3) 4) Name the dimensions. Quiz – you may not use your notes 1) 2) 3) 4) Name the dimensions Check your work!! Watch out for careless errors.
4.1 Matrix Operations What you should learn: Goal1 Goal2 Add and subtract matrices, multiply a matrix by a scalar, and solve the matrix equations. Use.
Warm Up. Multiplying Matrices 6.2 part 2 **Multiply rows times columns. **You can only multiply if the number of columns in the 1 st matrix is equal.
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.
3.6 – Multiply Matrices The product of two matrices A and B is defined provided the number of columns in A is equal to the number of rows in B. If A is.
4.3 Matrix Multiplication 1.Multiplying a Matrix by a Scalar 2.Multiplying Matrices.
Class Opener:. Identifying Matrices Student Check:
How to Multiply Two Matrices. Steps for Matrix Multiplication 1.Determine whether the matrices are compatible. 2.Determine the dimensions of the product.
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
Matrix Operations.
Chapter 4 Section 2: Multiplying Matrices. VOCABULARY The product of two matrices A and B is DEFINED provided the number of columns in A is equal to the.
Add and subtract matrices
Multiplying Matrices Lesson 4.2. Definition of Multiplying Matrices The product of two matrices A and B is defined provided the number of columns in A.
Objectives: Students will be able to… Multiply two matrices Apply matrix multiplication to real life problems.
Assignment Questions?? Pg all, 23-26, 35, 46, 48 Handout Questions?
Example 7 Multiplying with Technology Chapter 7.3 Use technology to compute BA and AB if and.  2009 PBLPathways.
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.
3.6 Multiplying Matrices Homework 3-17odd and odd.
Notes Over 4.2 Finding the Product of Two Matrices Find the product. If it is not defined, state the reason. To multiply matrices, the number of columns.
Precalculus Section 14.1 Add and subtract matrices Often a set of data is arranged in a table form A matrix is a rectangular.
12-2 MATRIX MULTIPLICATION MULTIPLY MATRICES BY USING SCALAR AND MATRIX MULTIPLICATION.
4.3 Multiplying Matrices Dimensions matching Rows times Columns.
Matrices Continued… Guiding Question: How can we use matrices to find the value of inventory?
Ch. 12 Vocabulary 1.) matrix 2.) element 3.) scalar 4.) scalar multiplication.
MATRIX MULTIPLICATION
Ch. 7 – Matrices and Systems of Equations 7.5 – Operations with Matrices.
Matrices.
Multivariable Linear Systems and Row Operations
Matrix Operations McDougal Littell Algebra 2
4-2 Multiplying Matrices Warm Up Lesson Presentation Lesson Quiz
13.4 Product of Two Matrices
Sections 2.4 and 2.5 Matrix Operations
Linear Algebra Lecture 2.
Warm-Up 3) 1) 4) Name the dimensions 2).
4-3 Multiplying Matrices
Matrix Multiplication
Warm Up Use scalar multiplication to evaluate the following:
Multiplying Matrices.
WarmUp 2-3 on your calculator or on paper..
AGENDA DG minutes.
Multiplicative Inverses of Matrices and Matrix Equations
Objectives Multiply two matrices.
Determinant of a Matrix
Warm-Up 3) 1) 4) Name the dimensions 2).
Multiplying Matrices.
Dimensions matching Rows times Columns
Warm-Up 3) 1) 4) Name the dimensions 2).
3.6 Multiply Matrices.
Matrix Operations Ms. Olifer.
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.
AGENDA DG minutes.
Lesson 2: Multiplying Matrices
Multiplying Matrices.
3.5 Perform Basic Matrix Operations Algebra II.
Multiplying Matrices.
Matrix Multiplication Sec. 4.2
Introduction to Matrices
Matrices - Operations MULTIPLICATION OF MATRICES
Multiplying Matrices.
Presentation transcript:

Multiplying Matrices GSE Accelerated Pre-Calculus Keeper 2

Objective – To multiply two matrices. Two matrices may be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix. 2 x 4 4 x 2 These two numbers must be the same in order to multiply the matrices. Dimensions of Product 2 x 2

Describing Matrix Products  

Examples For find each of the following. a) AB b) BA c) AC

Examples  

In Class Assignment Check for Understanding State whether the product AB is defined. If so, give the dimension of AB. Find the product. If it is not defined, state the reason. Using the given matrices, evaluate the expression.