1 / 7

Adding and Subtracting Matrices

Adding and Subtracting Matrices. 4-2 Adding and Subtracting Matrices. Evening C A. Theater 1 54 439 Theater 2 58 386. Matinee Evening. Theater C A C A 1 198 350 54 439

jasonn
Download Presentation

Adding and Subtracting Matrices

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Adding and Subtracting Matrices 4-2 Adding and Subtracting Matrices

  2. Evening C A Theater 1 54 439 Theater 2 58 386 Matinee Evening Theater C A C A 1 198 350 54 439 2 201 375 58 386 Matinee C A Theater 1 198 350 Theater 2 201 375 Adding and Subtracting Matrices Lesson 4-2 Additional Examples The table shows information on ticket sales for a new movie that is showing at two theaters. Sales are for children (C) and adults (A). a. Write two 2  2 matrices to represent matinee and evening sales.

  3. 198 350 201 375 54 439 58 386 198 + 54350 + 439 201 + 58375 + 386 + = C A Theater 1 252 789 Theater 2 259 761 = Adding and Subtracting Matrices Lesson 4-2 Additional Examples (continued) b. Find the combined sales for the two showings.

  4. 9 + 0 0 + 0 –4 + 0 6 + 0 3 + (–3) –8 + 8 –5 + 5 1 + (–1) = = 9 0 –4 6 0 0 0 0 = = Adding and Subtracting Matrices Lesson 4-2 Additional Examples Find each sum. 9 0 –4 6 0 0 0 0 3 –8 –5 1 –3 8 5 –1 a. + b. +

  5. Write the additive inverses of the elements of the second matrix. 4 8 –2 0 –7 9 –4 –5 A– B = A + (–B) = + 4 + (–7) 8 + 9 –2 + (–4) 0 + (–5) Add corresponding elements = –3 17 –6 –5 Simplify. = Adding and Subtracting Matrices Lesson 4-2 Additional Examples 4 8 –2 0 7 –9 4 5 A = and B = . Find A – B. Method 1: Use additive inverses.

  6. 4 8 –2 0 7 –9 4 5 A– B = – 4 – 7 8 – (–9) –2 – 4 0 – 5 Subtract corresponding elements = –3 17 –6 –5 Simplify. = Adding and Subtracting Matrices Lesson 4-2 Additional Examples (continued) Method 2: Use subtraction.

  7. Adding and Subtracting Matrices Find each sum or difference. –3 1 4 8 –5 4 –3 –2 9 5 4 –6 - 2 8 0 –12 –9 6 6 –5 +

More Related