1. Excellent Course of Liaoning Chapter 2 Matrix The Inverse of a Matrix & the Adjugate Matrix

2. Excellent Course of Liaoning 2.3 The Inverse of a Matrix & The Adjugate Matrix 2.3.1 Inverse Matrix Definition 2.9 Notes: If A is invertible, If B is an inverse of A ， then A is an inverse of B.

3. Excellent Course of Liaoning Theorem 2.2 If A is invertible, then its inverse is unique. Proof Suppose B and C are both inverses of A. We have then

4. Excellent Course of Liaoning 2.3.2 Adjugate Matrix and a Formula to Find Inverse Definition 2.10 !!!

5. Excellent Course of Liaoning Find the adjuagte (classical adjoint) of A Example 2-5 - c- c d - b- b a Solution

6. Excellent Course of Liaoning Theorem 2.3 Proposition 2.1

7. Excellent Course of Liaoning Proof

8. Excellent Course of Liaoning Example 2-6 Solution

9. Excellent Course of Liaoning then

10. Excellent Course of Liaoning Example 2-7 Proof

11. Excellent Course of Liaoning Theorem 2.4 Proof

12. Excellent Course of Liaoning Example 2-8 Proof

13. Excellent Course of Liaoning Definition 2.11

14. Excellent Course of Liaoning 2.3.3 Formulas for Inverse Matrices

15. Excellent Course of Liaoning 2.3.4 Formulas for Adjoint (Adjugate) Matrices

16. Excellent Course of Liaoning Example 2-9 Solution

17. Excellent Course of Liaoning Summary The Inverse of a Matrix