Linear Algebra detailed syllabus for Mechanical Engineering Sandwich (Mech Sandwich) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the Mech Sandwich 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 Mechanical Engineering Sandwich 9th Sem scheme and its subjects, do visit Mech Sandwich 9th Sem 2021 regulation scheme. For Open Elective-III scheme and its subjects refer to Mech Sandwich 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,th Edition, 2005.
- Sundarapandian V, Numerical Linear Algebra, Prentice Hall of India, New Delhi, 2014.
For detailed syllabus of all the other subjects of Mechanical Engineering Sandwich 9th Sem, visit Mech Sandwich 9th Sem subject syllabuses for 2021 regulation.
For all Mechanical Engineering Sandwich results, visit Anna University Mech Sandwich all semester results direct link.