1. Today: Class Announcements Class Announcements PLAN Practice PLAN Practice 4.1 Notes 4.1 Notes Begin Homework Begin Homework Show Chapter 3 Test Scores Show Chapter 3 Test Scores

2. Vocabulary: entry, scalar multiplications Objectives: Identify the characteristics of a matrix Add and subtract matrices Multiply scalars Solve a matrix equation

3. Anatomy of a Matrix (Matrices) Identifying the dimensions of a matrix: # of Rows x # of Columns Rows Columns

4. A is a 2x3 matrix Identify this matrix: B is a 2x2 matrix Anatomy of a Matrix (Matrices)

5. Identify this matrix: C is a 3x5 matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

6. Identify this matrix: D is a 4x3 matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

7. Identify this matrix: column matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

8. Identify this matrix: row matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

9. Identify this matrix: square matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

10. Identify this matrix: zero matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

11. Matrices are equal if they are the same size and each entry is equal. Anatomy of a Matrix (Matrices)

12. a = 6 b = 0 c = 2 Anatomy of a Matrix (Matrices) Find a, b, and c if A = J.

13. Matrices are equal if they are the same size and each entry is equal. Anatomy of a Matrix (Matrices)

14. x = 0 y = 5 z = 3 Find x, y, and z if A = K. Anatomy of a Matrix (Matrices)

15. Adding and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Find:L + M

16. Find:M + N Not possible; sizes not equal To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

17. Find:N + R Not possible; sizes not equal To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

18. Find:M – R To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

19. Find:P – L Not possible; sizes not equal Add and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries

20. Find:Q – N Add and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries

21. Multiply Scalars To multiply a scalar: 1.Multiply the scalar with every entry Perform the scalar multiplication:

22. Solving a Matrix Equation To solve a matrix equation: 1.Simplify both sides of the equation. 2.Set up equations and solve 3.Present answers 4.Check Solve: x = 6, y = -2

23. To solve a matrix equation: 1.Simplify both sides of the equation. 2.Set up equations and solve 3.Present answers 4.Check Solve: x = 10, y = 2 Solving a Matrix Equation

24. Assignment: pgs. 203-204 #15-17, 29, 30, 34, 35 pgs. 203-204 #15-17, 29, 30, 34, 35 4.1-4.3 Quiz on Tuesday, October 30 th 4.1-4.3 Quiz on Tuesday, October 30 th