MA25C10 Matrices for Engineers Syllabus:

MA25C10 Matrices for Engineers Syllabus – Anna University UG Syllabus Regulation 2025

Course Objectives: The Objectives of the course are to enable the students to understand and apply matrix concepts such as eigenvalues, orthogonal transformations, matrix decompositions (QR and SVD), quadratic forms and leastsquares solutions for solving engineering problems.

Matrices: Introduction – Characteristic equation – Eigenvalues and Eigenvectors of a real matrix – Properties of Eigen values and Eigen vectors (without proof) – Cayley – Hamilton theorem (Statement and applications only) – Orthogonal matrices – Orthogonal transformation of a symmetric matrix to diagonal form – Quadratic form – Nature of Quadratic forms – Reduction of quadratic form to canonical form by orthogonal transformation. Matrix norms, Jordan Normal form, QR decomposition – Singular Value Decomposition (SVD) – Least squares solutions- simple problems.
Activities: Computation of eigenvalues and eigenvectors, matrix norm, QR decomposition and SVD using open-source software, Solving Competitive Examination questions.

Weightage: Continuous Assessment: 40%, End Semester Examinations: 60%.

Assessment Methodology: Assignments (20%), Solution to application-oriented problems using software (20%), Solving Competitive Examination questions (20%), Internal Examinations (40%).

References:

1. Erwin Kreyszig, Advanced Engineering Mathematics, (11th ed.), John Wiley & Sons, USA,2025.
2. Alan Jeffrey, Matrix Operations for Engineers and Scientists, Springer Science, 2010.
3. Gilbert Strang. Linear Algebra for Everyone. 2020. Wellesley-Cambridge Press

E-resources:

1. https://ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/
2. https://nptel.ac.in/courses/111108066