# Linear Algebra

By : Vandana Tanwar

Updated : Jan 29, 2021, 6:36

Linear Algebra is a significant part of modern mathematics that reviews lattice hypothesis, linear maps, and vector space, including lines, planes, and pivots. Moreover, functional research is a part of a mathematical investigation that uses Linear Algebra. This topic plays a prominent role in various competitive exams like JEE, BITS, GATE, etc.

Understanding Linear Algebra GATE notes helps to elevate the overall marks in GATE exams. It's essential to comprehend Linear Algebra and the paper pattern that can help with honing the paper solving speed. This article involves an in-depth study of Linear Algebra to aid your GATE ECE Preparation.

## Important Linear Algebra Topics for GATE ECE

Here are some of the important topics that you should cover for the GATE ECE exam.

 Topic Explanation Cayley-Hamilton theorem It states that every square matrix over a commutative ring gratifies its characteristic equation. Linear transformations and their matrix representations It states the function of one vector space to others on a particular linear structure. Orthogonal and unitary matrices A unitary matrix refers to a grid whose backward rises to render transpose. The unitary matrix is the perplexing analog of real orthogonal matrices.

### Tips to Solve Linear Algebra Questions for GATE ECE

• Chalk out a study plan and devote significant time for this topic. It helps to mitigate any confusion and imparts a sense of direction.
• Check Linear Algebra GATE ECE syllabus and prepare topic-wise notes. Make sure that all notes remain stored at one place to avoid a last-minute rush.
• Create Linear Algebra GATE questions and answers pdf and address Linear Algebra MCQ pdf. It will guarantee that you don't miss out on any topic of utmost importance.
• Be confident, and don't over-stress. Continuously recollect that planning will go to no end on the off chance that you neglect to address the paper serenely.

### Importance of Linear Algebra in GATE

• Learning Linear Algebra will not only help you to fetch good marks in exams but also has real-life applications. For instance, it is useful in Linear Programming.
• The concepts of Linear Algebra helps you to get better insights into machine learning and deep learning. You can better comprehend how the algorithms work and make better decisions.
• Mastering linear equations will help you study various phenomena and examine them successfully. It is one of the indispensable topics in Electrical and Computer Engineering (ECE).
• Moreover, Linear Algebra holds a prominent place in science. Every segment of modern science contains areas that use linear algebra to function efficiently. This topic can help you in the long run in your Engineering career.

### Most Recommended Books for Linear Algebra

As aptly said that you attain success when you read from the right book. Here is the rundown of the most recommended books for Linear Algebra. Each Linear Algebra book has detailed Linear Algebra GATE notes.

 Book Author/Publication Linear Algebra Seymour Lipschutz, Marc Lipson Linear Algebra and its applications Gilbert Strang

## Why Prepare Linear Algebra from BYJU'S Exam Prep?

BYJU'S Exam Prep is an examination preparation platform for understudies that offers quality training and gets outfitted with a phenomenal administration workforce, and experienced coaches from various industries. It proffers excellent notes for GATE ECE on Linear Algebra, conducts the Linear Algebra quiz and Linear Algebra online test, and explains different tricks and hacks that save time and improve the exhibition in exams. You can also find Linear Algebra for computer science notes here. It provides you with ample study materials that are needed for Linear Algebra for GATE ECE.

Q. Are Linear Algebra GATE questions difficult to solve?

Indeed, Linear Algebra can be conceptually hard to solve, but by practicing the Linear Algebra online quiz regularly, you can excel at it.

Q. Can I prepare online for Linear Algebra?

Yes, BYJU'S Exam Prep is a one-stop for enthusiastic understudies getting ready for different competitive exams. Specialists at BYJU'S Exam Prep guarantee that each understudy comprehends and captures the idea unmistakably and consistently accessible to address any uncertainty or inquiry identified with the topic.

Yes, you can download it. BYJU'S Exam Prep proffers Linear Algebra notes for GATE pdf based on the Linear Algebra syllabus for GATE ECE.

Q. What exactly is Linear Algebra?

Linear Algebra is the branch of advanced mathematics that deals with linear equations and linear maps. Linear Algebra is widely used in all areas of mathematics.

Q. How to solve Linear Algebra questions quickly in the GATE exam 2021?

Follow these tips to solve Linear Algebra questions quickly in GATE exam 2021-

• Once you complete each topic, solve Linear Algebra MCQ questions.
• Revise Linear Algebra GATE questions and answers pdf daily.
• Concoct from Linear Algebra notes for ECE provided by BYJU'S Exam Prep.
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 bepstudentsupport@byjus.com