100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
MAT3004 Applied Linear Algebra CA$25.86   Add to cart
Quickly navigate to
Preview
  2.  
  3. LINEAR ALGEBRA
  4.  
  5. LINEAR ALGEBRA

Exam (elaborations)

MAT3004 Applied Linear Algebra
 15 views  0 purchase
  • Course
  • LINEAR ALGEBRA
  • Institution
  • LINEAR ALGEBRA

Pre-requisite MAT2002 Applications of Differential and Difference Equations Syllabus Version 1.1 Course Objectives 1. Understanding basic concepts of linear algebra to illustrate its power and utility through applications to computer science and Engineering. 2. Apply the concepts of vector s...

[Show more]

Preview 4 out of 449  pages

Document information

  • April 2, 2024
  • 449
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

Subjects

  • mat3004 applied linear algebra

Written for

  • LINEAR ALGEBRA
All documents for this subject (47)

Seller

avatar-seller
THEEXCELLENCELIBRARY

Reviews received

Content preview

MAT3004 Applied Linear Algebra L T P J C
3 2 0 0 4
Pre-requisite MAT2002 Applications of Differential and Syllabus Version
Difference Equations
1.1
Course Objectives
1. Understanding basic concepts of linear algebra to illustrate its power and utility through
applications to computer science and Engineering.
2. Apply the concepts of vector spaces, linear transformations, matrices and inner product
spaces in engineering.
3. Solve problems in cryptography, computer graphics and wavelet transforms

Course Outcomes
At the end of this course the students are expected to learn
1. the abstract concepts of matrices and system of linear equations using decomposition
methods
2. the basic notion of vector spaces and subspaces
3. apply the concept of vector spaces using linear transforms which is used in computer
graphics and inner product spaces
4. applications of inner product spaces in cryptography
5. Use of wavelet in image processing.

Student Learning Outcomes(SLO) 1,2,7

Module:1 System of Linear Equations 6 hours
Gaussian elimination and Gauss Jordan methods - Elementary matrices- permutation matrix -
inverse matrices - System of linear equations - - LU factorizations.

Module:2 Vector Spaces 6 hours
The Euclidean space and vector space- subspace –linear combination-span-linearly
dependent-independent- bases - dimensions-finite dimensional vector space.

Module:3 Subspace Properties 6 hours
Row and column spaces -Rank and nullity – Bases for subspace – invertibility- Application in
interpolation.

Module:4 Linear Transformations and applications 7 hours
Linear transformations – Basic properties-invertible linear transformation - matrices of linear
transformations - vector space of linear transformations – change of bases – similarity

Module:5 Inner Product Spaces 6 hours
Dot products and inner products – the lengths and angles of vectors – matrix representations of
inner products- Gram-Schmidt orthogonalisation

Module:6 Applications of Inner Product Spaces: 6 hours

,QR factorization- Projection - orthogonal projections – relations of fundamental subspaces –
Least Square solutions in Computer Codes

Module:7 Applications of Linear equations : 6 hours
An Introduction to coding - Classical Cryptosystems –Plain Text, Cipher Text, Encryption,
Decryption and Introduction to Wavelets (only approx. of Wavelet from Raw data)

Module:8 Contemporary Issues: 2 hours
Industry Expert Lecture

Total lecture hours: 45 hours
Tutorial • A minimum of 10 problems to be worked out by 30 hours
students in every Tutorial Class
• Another 5 problems per Tutorial Class to be given as
home work.
Text Book(s)
1. Linear Algebra, Jin Ho Kwak and Sungpyo Hong, Second edition Springer(2004).
(Topics in the Chapters 1,3,4 &5)
2. Introductory Linear Algebra- An applied first course, Bernard Kolman and David, R.
Hill, 9th Edition Pearson Education, 2011.
Reference Books
1. Elementary Linear Algebra, Stephen Andrilli and David Hecker, 5th Edition,
Academic Press(2016)
2. Applied Abstract Algebra, Rudolf Lidl, GuterPilz, 2 nd Edition, Springer 2004.
3. Contemporary linear algebra, Howard Anton, Robert C Busby, Wiley 2003
4. Introduction to Linear Algebra, Gilbert Strang, 5 th Edition, Cengage Learning (2015).
Mode of Evaluation: Digital Assignments, Continuous Assessments, Final Assessment Test

Recommended by Board of Studies 25-02-2017
Approved by Academic Council No. 47 Date 05-10-2017

,In one of the triannual SIAM conferences on applied linear algebra, a dive
of internationally recognized scientific corporations and government la
was asked how linear algebra finds application in their missions.

The overwhelming response was that the primary use of linear algebra i
industrial and laboratory work involves the development, analy
implementation of numerical algorithms along with some discrete and
modelling.

, ▪ Image Processing
▪ Flow in a network of pipes
▪ Current and voltage in LCR circuits
▪ Cryptography
▪ Machine learning (Support Vector Machine, Principle Component Analysis)
▪ Load and displacements in structures
▪ Finite element analysis (has Mechanical, Electrical, and Thermodynamic
applications)
▪ Many more…

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller THEEXCELLENCELIBRARY. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$25.86. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67096 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$25.86
  • (0)
  Add to cart