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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The Matrix Computation and its Applications certification course is a 12-week duration programme. To join this certification course the students must have a basic knowledge of matrix theory. The course provides a comprehensive curriculum to the candidates such as an introduction to binary operations, vector spaces, subspaces, and linearly independent and dependent vectors.
The Matrix Computation and its Applications certification by NPTEL is designed for undergraduate and postgraduate students. The certification course focuses on applications of matrices in various areas of engineering and science. Students gain hands-on experience and will be able to apply the learned concepts in real-world scenarios with the support of leading industry experts from IIT Delhi.
Also Read: Online Mathematics Courses & Certifications
The Highlights
- 12 Weeks Duration
- Completion Certification
- Undergraduate/Postgraduate Level Course
Programme Offerings
- Books
- Transcripts
- video
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Delhi |
Eligibility Criteria
Academic Qualifications
The prerequisite for Matrix Computation and its Applications online course is the students must know matrix theory.
Certification Qualifying Details
To obtain a certificate after completing the Matrix Computation and its Applications certificate course, the candidates must register and write the exam with a minimum passing score.
What you will learn
The Candidates will gain in-depth knowledge of applications of matrices in various fields such as engineering and science. After completing the Matrix Computation and its Applications certification syllabus, the students will learn the basics of linear algebra matrix norms and the sensitivity and condition number of the matrices.
Upon completion of the Matrix Computation and its Applications training, the students will apply the learned concepts, principles and knowledge in real-world projects. With the support of industry experts, they will gain hands-on training. Students will also explore the pseudo-inverse of a matrix of any dimension (m x n) using the Moore - Penrose theorem.
Who it is for
The Matrix Computation and its Applications certification course is designed for aspiring students to develop the required knowledge and skills. This certification course is also beneficial for:
Admission Details
To join the Matrix Computation and its Applications classes, follow the steps mentioned below:
Step 1: Browse the link mentioned below:
https://nptel.ac.in/courses/111102152
Step 2: Log in with a Google account or create a new one and log in.
Step 3: Fill out the form with the required information, submit it and start the course.
The Syllabus
- Introduction to binary operations
- Vector spaces, subspaces.
- Linearly independent and dependent vectors..
- Basis of vector spaces
- Linear functions
- Row equivalent matrices.
- Null spaces
- Four subspaces associated with the matrix
- Diagonal dominant matrices.
- Coordinate of a vector
- Linear transformation.
- Range space and Null space of Linear transformation
- Rank-Nullity theorem.
- Matrix representation of Linear transformation
- Similar matrices
- Orthonormal bases.
- Gram-Schmidt orthogonalisation process
- QR factorisation
- Inner product spaces.
- Vector norm
- Matrix norm
- Sensitivity analysis.
- Orthogonal matrix
- Least square method
- Jordan-Canonical form.
- Singular value decomposition (SVD).
- Moore-Penrose inverse
- Householder transformation.
Evaluation process
The participants must score minimum marks of 25% in assignments and 75% in the written exam, with a total of 100 marks.
IIT Delhi Frequently Asked Questions (FAQ's)
The certification course is a 12-week programme and is designed for undergraduate and postgraduate students.
The certification course curriculum includes an introduction to binary operations, vector spaces, subspaces, linearly independent and dependent vectors, and the basis of vector spaces, linear functions, and row equivalent matrices.
The students must have a basic knowledge of matrix theory to join this certification course.
Yes, the students can register for multiple NPTEL online exams. Candidates can select up to 12 NPTEL certification exams in a single semester. The exams will be conducted 6 days in each semester and there will be two sessions.
Students will receive a confirmation mail, after that they can begin the course and weekly lessons are released. Students will be notified through e-mails.