MA25C10 Matrices for Engineers – Semester III – EEE / EEE(Comp) / EIE / ICE – R-2025

Subject Code & Name: MA25C10 – Matrices for Engineers

Regulation: R-2025

Semester: III (Third Semester)

Branch: B.E. Electrical and Electronics Engineering (EEE) / B.E. Electrical and Computer Engineering (EEE(Comp)) / B.E. Electronics and Instrumentation Engineering (EIE) / B.E. Instrumentation and Control Engineering (ICE)

Credits / L-T-P: 2 Credits | L-T-P: 2-0-0

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 least- squares solutions for solving engineering problems.

Full Unit-wise Syllabus

Unit I – 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.

Course Outcomes (COs)

• CO1:CO1: Understand concepts of eigenvalues eigenvectors and matrix norms.
• CO2: Apply QR decomposition and SVD to solve matrix problems arising in engineering applications.
• CO3: Analyze quadratic forms using orthogonal transformations and use least squares methods to obtain approximate solutions of linear systems.

Assessment Pattern (Quick Note)

• Weightage: Continuous Assessment 40% | End Semester Examinations 60%
• Internal methodology: Assignments (20%), Solution to application-oriented problems using software (20%), Solving Competitive Examination questions (20%), Internal Examinations (40%)

Source: Official Anna University – B.E. Electrical and Electronics Engineering R-2025 Curriculum
September 2026

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