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Applied Algebra

1670

New

According to New Revised Syllabus w.e.f. 2014 PUNE, Maharashtra (INDIA)

Applied Algebra

SY BSc Computers Sem-I

Author : Parshuram Ahire, Shilpkala Jagtap

Book ID : 1670

ISBN : 978-93-5016-322-1

More details

Rs.190

Contents

1. General Vector Spaces     

1. Introduction  

2. Real Vector Spaces  

3. Euclidean n-space   

4. Subspaces of a Vector Space     

5. Linear Combination and Linear Span    

6. Linear Independence 

7. Basis and Dimension 

8. Row Space, Column Space, Null Space   

9. Rank and Nullity    

2. Eigen Values and Eigen Vectors

1. Introduction  

2. Eigen Values and Eigen Vectors  

3. Diagonalization     

4. Quadratic Forms     

3. Linear Transformations

1. Introduction  

2. Linear Transformation     

3. Kernel and Range of a Linear Transformation 

4. Inverse Linear Transformation   

5. Matrix of General Linear Transformation     

4. Groups and Coding   

1. Introduction  

2. Binary Operation and General Properties     

3. Groups  

4. Quotient Group

5. Properties of Distance Function 

6. Group Codes   

7. Additional Results from Boolean Matrices    

8. Decoding and Error Correction   

9. Public Key Cryptography   

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