Section 9.2 Adding and Subtracting Matrices Objective: To add and subtract matrices.

Slides:



Advertisements
Similar presentations
Transformations on the Coordinate Plane
Advertisements

Transformation in Geometry Created by Ms. O. Strachan.
Warm-up 1.Review notes from Friday. 2.What is the dimension of the matrix below?
4.2 An Introduction to Matrices Algebra 2. Learning Targets I can create a matrix and name it using its dimensions I can perform scalar multiplication.
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
Solutions to the Symmetry WS 1. a 2. b 3. a 4. c 5. a 6. c 7. b 8. a 9. c 10. a SIDE 1 1. yes No 6. 4 SIDE 2.
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:
Transformations A rule for moving every point in a figure to a new location.
TRANSLATIONS. THE BASICS Vocabulary and concepts.
10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.
4.4 Transformations with Matrices 1.Translations and Dilations 2.Reflections and Rotations.
 Remember back in geometry when you did translations? A translation is a. The coordinates of a point use a rule to move from its to its. slide preimageimage.
4-4 Geometric Transformations with Matrices Objectives: to represent translations and dilations w/ matrices : to represent reflections and rotations with.
Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.
EXAMPLE 2 Add and subtract matrices 5 –3 6 – –4 + a. –3 + 2
Matrix Algebra Section 7.2. Review of order of matrices 2 rows, 3 columns Order is determined by: (# of rows) x (# of columns)
Section 9-1 An Introduction to Matrices Objective: To perform scalar multiplication on a matrix. To solve matrices for variables. To solve problems using.
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.
Worksheet Answers Matrix worksheet And Matrices Review.
III- 1 III 3D Transformation Homogeneous Coordinates The three dimensional point (x, y, z) is represented by the homogeneous coordinate (x, y, z, 1) In.
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.
3.7 Translations. A) Translation: when we SLIDE a figure to a different location. Transformation: an operation that maps or moves a figure onto an image.
Lesson 9.2 Use Properties of Matrices. Objective Students will perform translations using matrix operations.
REVIEW OF MAPPING RULES
Transformation: Translation and Reflection Objective: To identify and solve problems involving translation, reflection, rotation and dilation Transformation.
CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION.
Christmas Packets are due on Friday!!!
The original figure is called the preimage.
Introduction to Transformations & Translations
Transformation in Geometry
Composition of Isometries & Dilations
Matrices - Addition and Subtraction
Objectives Identify reflections, rotations, and translations.
Matrix Operations.
Reflections & Rotations
Worksheet Key 12/1/2018 8:08 PM Multiply Matrices.
4-4 Geometric Transformations with Matrices
Matrices Elements, Adding and Subtracting
Bellwork Change to Addition
Using Matrices with Transformations
Transformation in Geometry
Families of Functions Lesson 2-6 Part 1
Transformations on the coordinate plane
EXAMPLE 2 Add and subtract matrices 5 –3 6 – –4 + a. –3 + 2
EXAMPLE 1 Translate a figure in the coordinate plane
9-1: Reflections.
Adding and Subtracting Positive and Negative Numbers
Reflections in Coordinate Plane
Unit 1 Transformations in the Coordinate Plane
Several Transformations
Distance and the coordinate plane
Transformations on the coordinate plane
Unit 1 Transformations in the Coordinate Plane
Transformations on the coordinate plane
Splash Screen.
Chapter 2: Transformations
Rotation.
Happy Tuesday!!! Take out your homework assignment and be ready to turn it in when the bell rings. Take out paper to write notes.
Transformations with Matrices
What is the dimension of the matrix below?
Transformations.
Translation Objective: Priority Standards:
QQ.
Using Matrices to Perform Geometric Transformations
Unit 1 Transformations in the Coordinate Plane
Introduction to Matrices
Presentation transcript:

Section 9.2 Adding and Subtracting Matrices Objective: To add and subtract matrices.

Addition of Matrices

Example 1 Perform the indicated operations.

Example 3 Perform the indicated operations.

Translation A type of transformation is a translation. A translation occurs when a figure is moved from one location to another on the coordinate plane without changing it’s size shape or orientation. You can use matrix addition to find the coordinates of translated figures.

Example 2

Assignment 9.2 Worksheet