Linear Algebra detailed syllabus for Computer Science & Design (CSD) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the CSD students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Computer Science & Design 7th Sem scheme and its subjects, do visit CSD 7th Sem 2021 regulation scheme. For Open Elective-III scheme and its subjects refer to CSD Open Elective-III syllabus scheme. The detailed syllabus of linear algebra is as follows.
Course Objectives:
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Unit I
MATRICES AND SYSTEM OF LINEAR EQUATIONS
Matrices – Row echelon form – Rank – System of linear equations – Consistency – Gauss elimination method – Gauss Jordan method.
Unit II
VECTOR SPACES
Vector spaces over Real and Complex fields – Subspace – Linear space – Linear independence and dependence – Basis and dimension.
Unit III
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Unit IV
INNER PRODUCT SPACES
Inner product and norms – Properties – Orthogonal, Orthonormal vectors – Gram Schmidt orthonormalization process – Least square approximation.
Unit V
EIGEN VALUE PROBLEMS AND MATRIX DECOMPOSITION
Eigen value Problems : Power method, Jacobi rotation method – Singular value decomposition – QR decomposition.
Course Outcomes:
After the completion of the course the student will be able to
- Test the consistency and solve system of linear equations.
- Find the basis and dimension of vector space.
- Obtain the matrix of linear transformation and its eigenvalues and eigenvectors.
- Find orthonormal basis of inner product space and find least square approximation.
- Find eigenvalues of a matrix using numerical techniques and perform matrix decomposition.
Text Books:
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Reference Books:
- Bernard Kolman, David R. Hill, Introductory Linear Algebra, Pearson Educations, New Delhi, 8th Edition, 2009.
- Gerald C.F. and Wheatley P.O, Applied Numerical Analysis, Pearson Educations, New Delhi, 7th Edition, 2007.
- Kumaresan S, Linear Algebra – A geometric approach, Prentice Hall of India, New Delhi, Reprint, 2010.
- Richard Branson, Matrix Operations, Schaum’s outline series, 1989.
- Strang G, Linear Algebra and its applications, Thomson (Brooks / Cole) New Delhi, 4th Edition, 2005.
- Sundarapandian V, Numerical Linear Algebra, Prentice Hall of India, New Delhi, 2014.
For detailed syllabus of all the other subjects of Computer Science & Design 7th Sem, visit CSD 7th Sem subject syllabuses for 2021 regulation.
For all Computer Science & Design results, visit Anna University CSD all semester results direct link.