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H.Melikian/12001 Linear Algebra II Dr.Hayk Melikyan/ Departmen of Mathematics and CS/ Linear Transformations and Matrices (Sec 2.7) Composition.

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Presentation on theme: "H.Melikian/12001 Linear Algebra II Dr.Hayk Melikyan/ Departmen of Mathematics and CS/ Linear Transformations and Matrices (Sec 2.7) Composition."— Presentation transcript:

1 H.Melikian/12001 Linear Algebra II Dr.Hayk Melikyan/ Departmen of Mathematics and CS/ melikyan@nccu.edu Linear Transformations and Matrices (Sec 2.7) Composition and Invertibility of Linear Transformations (Sec 2.8

2 H.Melikian/12002 Functions and Mappings

3 H.Melikian/12003 Transformations Induced by Matrices

4 H.Melikian/12004 Properties of Matrix Transformation

5 H.Melikian/12005 Linear Transformations

6 H.Melikian/12006 Properties of Linear Transformations

7 H.Melikian/12007 Composition and Invertibility of Linear Transformations (Sec 2.8)

8 H.Melikian/12008 Properties of onto Maps

9 H.Melikian/12009 One-to-one maps and Null Space of Transformation

10 H.Melikian/120010 Example. Determine whether the given linear transformation is one-to-one, onto or both

11 H.Melikian/120011 Composition of Maps

12 H.Melikian/120012 Composition of Matrix transformations

13 H.Melikian/120013 Invertibility of Linear Transformation


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