What does this say? Matrix Multiplication 5 14 5 13 25 9 19 3 12 15 19 5. 16 18 5 16 1 18 5! What does this say? 33 47 31 44 79 106 47 66 33 33 42 57 29.

Slides:

Advertisements

Similar presentations

2.3 Modeling Real World Data with Matrices

Advertisements

Section 13-4: Matrix Multiplication

Copyright © 2009 Pearson Education, Inc. CHAPTER 9: Systems of Equations and Matrices 9.1 Systems of Equations in Two Variables 9.2 Systems of Equations.

Matrix Multiplication, Part 2a V T S Pizza Drink Salad What if your group wants to buy 1 pizza, 3 drinks, and 3 salads? Or 2 pizzas, 4 drinks, and 3 salads?

Matrix Multiplication To Multiply matrix A by matrix B: Multiply corresponding entries and then add the resulting products (1)(-1)+ (2)(3) Multiply each.

Maths for Computer Graphics

Matrices. Special Matrices Matrix Addition and Subtraction Example.

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

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

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.

Chapter 4 Systems of Linear Equations; Matrices Section 4 Matrices: Basic Operations.

4.1 Using Matrices to Represent Data

Solving Systems of Equations with Matrices

Holt McDougal Algebra 1 10-Ext Matrices 10-Ext Matrices Holt Algebra 1 Lesson Presentation Lesson Presentation Holt McDougal Algebra 1.

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.

13.1 Matrices and Their Sums

In Lesson 4-2, you multiplied matrices by a number called a scalar

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.

How to Multiply Two Matrices. Steps for Matrix Multiplication 1.Determine whether the matrices are compatible. 2.Determine the dimensions of the product.

8.2 Operations With Matrices

2.2 Multiplying Matrices Mr. Anderson Pre Calculus Falconer Central High School Falconer, NY.

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

1.7 Linear Independence. in R n is said to be linearly independent if has only the trivial solution. in R n is said to be linearly dependent if there.

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

Matrices. Matrices – How to write & What is Order AppleOrangePear Shop Shop rows and 3 columns  Matrix has order 2x3 (read as “2 by.

Notes Over 4.4 Finding the Inverse of 2 x 2 Matrix.

Matrix Multiplication The Introduction. Look at the matrix sizes.

Matrix Multiplication. Row 1 x Column X 25 = Jeff Bivin -- LZHS.

3.6 Multiplying Matrices Homework 3-17odd and odd.

Table of Contents Matrices - Definition and Notation A matrix is a rectangular array of numbers. Consider the following matrix: Matrix B has 3 rows and.

= the matrix for T relative to the standard basis is a basis for R 2. B is the matrix for T relative to To find B, complete:

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.

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.

MATRICES. Matrix – Used to store numbers Dimensions: Row x Column (Each entry is called an element)

Objective 1 b Use matrices to solve mathematical situations and contextual problems. (DOK 2)

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

2.1 Matrix Operations 2. Matrix Algebra. j -th column i -th row Diagonal entries Diagonal matrix : a square matrix whose nondiagonal entries are zero.

Tell whether the matrix is equal to the fundraiser matrix. Explain.

Matrices When data from a table (or tables) needs to be manipulated, easier to deal with info in form of a matrix. Fresh Soph Jun Sen A B 7 C 1 6.

12-1 Organizing Data Using Matrices

Matrix Operations Free powerpoints at

Matrix Operations.

Matrices - Addition and Subtraction

Matrix Operations.

Matrix Operations Free powerpoints at

Matrix Multiplication

Matrix Operations.

Matrix Operations Free powerpoints at

Multiplying Matrices.

Section 6.4 Multiplicative Inverses of Matices and Matrix Equations

2. Matrix Algebra 2.1 Matrix Operations.

Worksheet Key 12/1/2018 8:08 PM Multiply Matrices.

4-2 Adding & Subtracting Matrices

Matrices Elements, Adding and Subtracting

Matrix Algebra (2).

MATRICES MATRIX OPERATIONS.

Objectives Multiply two matrices.

Section 9.4 Multiplicative Inverses of Matices and Matrix Equations

Multiplying Matrices.

Dimensions matching Rows times Columns

3.6 Multiply Matrices.

Section 9.4 Matrix Operations

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.

Directions: Carefully read each of the following multiple-choice items and the four possible answers. Select the correct response and mark the letter.

Multiplying Matrices.

Multiplying Matrices.

Matrix Multiplication Sec. 4.2

Multiplying Matrices.

Presentation transcript:

What does this say? Matrix Multiplication ! What does this say?

Product of matrices The entry in the i th row and j th column of this new matrix is a result of the sum of the product of entries in row i of the first matrix and column j of the second matrix: Essentially, each row of the first matrix is paired with each column in the second matrix. If one matrix has m rows and p columns and a second matrix has p rows and n columns, then the matrix resulting from their product will be of order

More examples

More, more examples

Application 1 McDonald’s has sales of its Big Mac, McFish and McChicken sandwiches in Hawaii and Alaska. Matrix X stores info about how many were sold and matrix Y keeps the sales price per item. What is XY and what does it mean?

Application 2 Encode the phrase “now or never” with the given code matrix: n o w o r n e v e r