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

Slides:



Advertisements
Similar presentations
2.3 Modeling Real World Data with Matrices
Advertisements

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.
Warm-up 1.Review notes from Friday. 2.What is the dimension of the matrix below?
8.4 Matrix Operations Day 1 Thurs May 7 Do Now Solve X – 2y = -6 3x + 4y = 7.
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.
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
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?
Section 4-2 Adding and Subtracting Matrices. I. Matrices can be added or subtracted if they are the same size Both matrices are 2x2 + To add them just.
Class Opener:. Identifying Matrices Student Check:
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.
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)
Matrices: Simplifying Algebraic Expressions Combining Like Terms & Distributive Property.
MATRICES MATRIX OPERATIONS. About Matrices  A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run.
Sec 4.1 Matrices.
 In this lesson we will go over how to solve a basic matrix equation such as the following: These are matrices, not variables.
Algebra Matrix Operations. Definition Matrix-A rectangular arrangement of numbers in rows and columns Dimensions- number of rows then columns Entries-
EXAMPLE 1 Add and subtract matrices
Notes Over 4.1 Adding and Subtracting Matrices Perform the indicated operation, if possible To add or subtract matrices, they must have the same dimensions.
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.
4-3 Matrix Multiplication Objectives: To multiply by a scalar To multiply two matrices.
Essential Question: Why, oh why, didn’t I take the blue pill?
(4-2) Adding and Subtracting Matrices Objectives: To Add and subtract Matrices To solve certain Matrix equations.
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.
Matrices Addition, subtraction, and scalar operations.
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.
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.
Ch. 12 Vocabulary 1.) matrix 2.) element 3.) scalar 4.) scalar multiplication.
Matrices.
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.
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 SpringSemester 2017.
Matrix Operations Free powerpoints at
Multiplying Matrices.
WarmUp 2-3 on your calculator or on paper..
7.3 Matrices.
الوحدة السابعة : المصفوفات . تنظيم البيانات فى مصفوفات . الوحدة السابعة : المصفوفات . تنظيم البيانات فى مصفوفات . 1 جمع المصفوفات وطرحها.
6-3 Solving Systems Using Elimination
25. Basic matrix operations
4.1 Matrices – Basic Operations
MATRICES MATRIX OPERATIONS.
2.2 Introduction to Matrices
Multiplying Matrices.
3.5 Perform Basic Matrix Operations
Matrices.
Chapter 4 Matrices & Determinants
1.8 Matrices.
Matrix Operations Ms. Olifer.
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:

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

Key Vocabulary: Matrix: Dimensions: Elements: Equal: Scalar: Scalar Multiplication:

Dimensions and Elements Name the dimensions of the matrices and how many elements are in each matrix. Ex:

Adding and Subtracting Matrices To add or subtract matrices, simply add or subtract elements in corresponding positions. Add two matrices together:

Subtract two matrices:

Multiply a Matrix by a Scalar Scalar: a real number used to multiply to each element in the matrix. Ex:

Solve a Matrix Equation: Step 1: Identify the variables in the matrices. Step 2: Set up equations using elements in corresponding positions from all the matrices. Step 3: Solve the equation for the variable. Ex: