4-3 Matrix Multiplication Objective: To multiply a matrix by a scalar multiple.

Slides:



Advertisements
Similar presentations
2.3 Modeling Real World Data with Matrices
Advertisements

Section 13-4: Matrix Multiplication
Chapter 2 Section 2. Lemma Let i=1 and j=2, then.
Maths for Computer Graphics
Multiplying matrices An animated example. (3 x 3)x (3 x 2)= (3 x 2) These must be the same, otherwise multiplication cannot be done Is 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.
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
2.5 Determinants and Multiplicative Inverses of Matrices Objectives: Evaluate determinants. Find inverses of matrices. Solve systems of equations by using.
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.
4.3 Matrix Multiplication 1.Multiplying a Matrix by a Scalar 2.Multiplying Matrices.
8.2 Operations With Matrices
Matrix Operations.
2.2 Multiplying Matrices Mr. Anderson Pre Calculus Falconer Central High School Falconer, NY.
Sec 4.1 Matrices.
Matrix Operations.
Algebra Matrix Operations. Definition Matrix-A rectangular arrangement of numbers in rows and columns Dimensions- number of rows then columns Entries-
Warm Up Perform the indicated operations. If the matrix does not exist, write impossible
EXAMPLE 1 Add and subtract matrices
What is Matrix Multiplication? Matrix multiplication is the process of multiplying two matrices together to get another matrix. It differs from scalar.
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.
Matrix Multiplication The Introduction. Look at the matrix sizes.
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.
3.6 Multiplying Matrices Homework 3-17odd and odd.
3.5 Perform Basic Matrix Operations Add Matrices Subtract Matrices Solve Matric equations for x and y.
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.
Do Now: Perform the indicated operation. 1.). Algebra II Elements 11.1: Matrix Operations HW: HW: p.590 (16-36 even, 37, 44, 46)
4.2 Matrix Multiplication Objectives: Multiply 2 matrices. Use matrix multiplication to solve mathematical and real-world problems. Standard:
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.
§9-3 Matrix Operations. Matrix Notation The matrix has 2 rows and 3 columns.
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.
Matrices. Matrix A matrix is an ordered rectangular array of numbers. The entry in the i th row and j th column is denoted by a ij. Ex. 4 Columns 3 Rows.
Matrix Operations McDougal Littell Algebra 2
13.4 Product of Two Matrices
Lesson 43: Working with Matrices: Multiplication
12-1 Organizing Data Using Matrices
Multiplying Matrices.
Christmas Packets are due on Friday!!!
Matrix Operations Free powerpoints at
Linear Algebra review (optional)
Matrix Operations.
Matrix Operations.
Matrix Operations Free powerpoints at
Warm-Up - 8/30/2010 Simplify. 1.) 2.) 3.) 4.) 5.)
Matrix Operations Monday, August 06, 2018.
Matrix Operations.
Matrix Operations Add and Subtract Matrices Multiply Matrices
Matrix Operations Free powerpoints at
Warm Up Use scalar multiplication to evaluate the following:
Multiplying Matrices.
WarmUp 2-3 on your calculator or on paper..
[ ] [ ] [ ] [ ] EXAMPLE 3 Scalar multiplication Simplify the product:
Matrix Multiplication
MATRICES MATRIX OPERATIONS.
Section 2.4 Matrices.
Multiplying Matrices.
3.6 Multiply Matrices.
1.8 Matrices.
Matrix Multiplication
1.8 Matrices.
Multiplying Matrices.
3.5 Perform Basic Matrix Operations Algebra II.
Multiplying Matrices.
Matrix Multiplication Sec. 4.2
Introduction to Matrices
Multiplying Matrices.
Presentation transcript:

4-3 Matrix Multiplication Objective: To multiply a matrix by a scalar multiple

Ex 13

Ex 14

Ex 15

Ex 16

4-3 Part II Multiplying Matrices Objective: To multiply Matrices

Ex 1:

Ex 2

Is Matrix Multiplication Commutative? Explain.

Note: A product of 2 matrices A and B exists IF and Only IF… The # of columns of A is the same as the # of rows of B. For instance 2 x 3 and a 3 x 4

Ex 3: Find each product (If it exists)

Ex 4:

Ex 5:

AssignmentAssignment Pg evens, evens evens (don’t multiply)