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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

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Adding and Subtracting Matrices

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  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 +

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