Maths - sem5(Linear Algebra) b.sc 2018 previous question papers download in telugu and English

Maths-5(Linear Algebra) 2018 previous question papers download in Telugu and English

Subject :-(Maths)

Subject name :-(Linear Algebra)

Year :-(2018)

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Syllabus of Linear Algebra 

Prerequisites 

0.1 Various Sets 

0.2 Matrices 

0.3 Determinants 

0.4 Row Reduction & Echelon Forms 

0.5 Pivot Positions and Pivot Columns 

0.6 Systems of Linear Equations 

0.7 Invertible Matrix Theorem 

Vectors or Spaces and Subspaces 

1.1 Vector Spaces 

1.2 Properties of Vector Spaces 

1.3 Subspaces 

1.4 Linear Combinations and Span 

1.5 Subspace  spanned by a set 

Null and Column Spaces & Linear Transformations 

2.1 The Null Space of a Matrix 

2.2 The Column Space of a Matrix 

2.3 Linear Transformations 

2.4 Matrix Transformations 

2.5 The Standard Matrix of a Linear Transformation 

Linearly Independent Sets, Bases, Coordinate Systems 

3.1  Linearly Independent Sets 

3.2 Basis 

3.3 Spanning Set Theorem 

3.4 Coordinate Systems

The Dimension of a Vector Space 

4.1 Dimension of a Vector Space 

4.2 Subspaces of a Finite-Dimensional Space 

4.3 The dimensions of Nul A and Col A 

UNIT -II 

The rank of a Matrix, Change of Basis 

5.1 Row Spaces 

5.2 Rank of  a Matrix 

5.3 Change of Basis 

Eigen Values ​​and Eigen Vectors & The Characteristic Equation 

6.1 Eigen Values ​​and Eigen Vectors 

6.2 The Characteristic Equation 

UNIT -III 

Diagonalization 

7.1 Diagonalizing Matrices 

Eigen Vectors and Linear Transformations, Complex Eigen Values ​​

8.1 The Matrix  of a Linear Transformation 

8.2 Linear Transformations from V into V 

8.3 Linear Transformations on R "

8.4 Complex Eigen Values ​​

Applications to Differential Equations 

9.1 Basics of Differential Equations 

Orthogonality and Least Squares 

10.1 Inner Product, Length, and Orthogonality 

10.2 Orthogonal Vectors 

10.3 Orthogonal  Complements 

10.4 Solved Problems 

10.5 Orthogonal Sets 

10.6 Solved Problems

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Maths_(Linear Algebra) (semester-5)

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