Practice Questions on Linear Algebra for CSIR NET Mathematics
Practice multiple-choice questions (MCQs) on linear algebra for CSIR NET JRF Mathematics,
IIT JAM, and IIT GATE exams to help candidates in successfully qualifying.
1. Vector Spaces
2. Linear Transformation
3. System of Equations
4. Matrices and Their Properties
5. Bilinear and Quadratic Forms
Linear Algebra : CSIR NET JRF Syllabus
- Vector spaces:
- Definition and examples
- Subspaces
- Linear dependence
- Basis and dimension
- Algebra of linear transformations
- Linear Transformations :
- Definition Range and Null space of Linear Transformation
- Sylvester’s Law
- Types of Linear Transformation
- Properties of Linear transformation
- Some Important Linear operators
- Set of all linear transformation from V to V’
- Properties
- Isomorphism of Vector Spaces
- Matrix Representation of Linear Transformation
- Properties Important Matrices/Linear Operators
- System of Linear Equations
- Algebra of matrices:
- Operations on matrices
- Rank and determinant of matrices
- Solution of linear equations
- Eigenvalues and eigenvectors:
- Definition and examples
- Cayley-Hamilton theorem
- Canonical forms
- Diagonal forms
- Triangular forms
- Jordan forms
- Inner product spaces:
- Definition and examples
- Orthonormal basis
- Quadratic forms:
- Definition and examples
- Reduction of quadratic forms
- Classification of quadratic forms
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In addition to our extensive collection of practice questions on Linear Algebra, we offer a variety of articles to further aid your preparation. Check out our detailed guides on downloading the CSIR NET syllabus, solving previous year questions (PYQs) for CSIR NET, effective strategies on how to prepare for CSIR NET, and our recommendations for the best books for CSIR NET. These resources are designed to provide you with all the information and tools you need to succeed. Check out official website of NTA CSIR NET.