1. 2/25/2016Agenda Textbook / Web Based ResourceTextbook / Web Based Resource –Determine if 2 matrices are inverses –Determine if a 2 x 2 matrix has an inverse –Find the inverse of a 2 x 2 matrix (if possible) ClassworkClasswork HomeworkHomework INSERT HERE

2. 2/25/2016 The Inverse of a Square Matrix

3. 2/25/2016 By the end of the day: You should know how to: Determine if two matrices are inverses of each otherDetermine if two matrices are inverses of each other Determine if a 2 x 2 matrix has an inverse.Determine if a 2 x 2 matrix has an inverse. Find the inverse of a 2 x 2 matrix (if possible)Find the inverse of a 2 x 2 matrix (if possible)

4. 2/25/2016 Inverse of a Matrix Definition of the Inverse of a Square Matrix: Two matrices are inverses if their product is the identity matrix. Invertible Matrix – Matrix that has an inverse.

5. 2/25/2016 Inverse of a 2 x 2 For any matrix ifFor any matrix if then the matrix is invertible. To find the inverse of a 2 x 2: Switch a and dSwitch a and d Change the sign of b and cChange the sign of b and c Multiply the matrix byMultiply the matrix by

6. 2/25/2016 Inverse of a 2 x 2 Find the inverse of A = a = 4, b = 3, c = 2, d = 2 ad – bc = 4(2) – 3(2) = 8 – 6 = 8 – 6 = 2 = 2

7. 2/25/2016Classwork Let’s Try This Together… 1) 11)37)

8. 2/25/2016 Row-Echelon Form You Try These on Your Own: 1.INSERT YOUR PROBLEMS HERE

9. 2/25/2016 It’s the end of the day: Do you know how to: Determine if two matrices are inverses of each other?Determine if two matrices are inverses of each other? Determine if a 2 x 2 matrix has an inverse?Determine if a 2 x 2 matrix has an inverse? Find the inverse of a 2 x 2 matrix (if possible)?Find the inverse of a 2 x 2 matrix (if possible)?

10. 2/25/2016Homework Study: INSERT HERE Do: Read & Take Notes: INSERT HERE

11. 2/25/2016 Resource Credits Justin Bohannon Justin Bohannon Justin Bohannon