Udemy
    •  
    •  
    •  
    •  
    •  
    •  
    •  
    •  
Subscribe
Turn what you know into an opportunity and reach millions around the world.
Learn More
Your cart is empty.
Keep shopping
GAME OF MATRICES : A Crash course on Linear Algebra
Rating: 4.4 out of 5(8 ratings)
2,508 students

GAME OF MATRICES : A Crash course on Linear Algebra

Learning Linear Algebra for Competitive Exams
Created byRavi Kiran
Last updated 12/2023
English
English [Auto],

What you'll learn

  • Tackling Problems of Linear Algebra for engineering competitive exams
  • Matrices and it's types
  • Determinants and its properties
  • Eigen values and their properties
  • Eigen vectors
  • LU decomposition

Course content

5 sections • 17 lectures • 8h 24m total length

  • Definition & Types of Matrices, Basic Matrix Operations27:32
  • Matrix Multiplication24:10

    Master matrix multiplication by verifying the dimension rule, computing products via row by column dot products, and recognizing non-commutativity, with coverage of addition and scalar factors.

  • Transpose of a Matrix and Related Concepts18:34

    Explore the transpose of a matrix, showing how rows become columns, and introduce symmetric and skew-symmetric matrices. Decompose a matrix into symmetric and skew-symmetric parts, with conjugates and Hermitian cases.

  • Determinant of a Matrix24:11

    Procedure to find determinant has been explained

  • Properties of Determinants28:37

    Basic properties are discussed here. Few more properties are discussed in further videos as course progresses as per requirements in those concepts.

  • Properties of Determinants (continued...)26:57

    Covers how scaling a row or column by a constant scales the determinant, the effect of proportional or identical rows or columns, cofactor expansion, and triangular matrices.

  • Inverse of a Matrix27:59

    the lecture introduces the multiplicative inverse of a matrix, detailing cofactors, transposed cofactors (adjoint), and inverse as adjoint divided by determinant, with examples and a singularity check.

  • Alternate Method for Finding Inverse of a Matrix37:26
  • Basic Concepts

Requirements

  • Sound knowledge of Basic Math
  • Commitment for completing the course

Description

The course covers concepts of Linear Algebra essential for a student of engineering background.

One with a great knowledge on Linear Algebra, going forward can easily understand concepts of vectors which is extensively used in various fields in the form of data sets which include likes of -

1. macro and micro mechanics of objects such as calculating projectile motions,

2. statistical inferences by medical researchers etc.

4. Heat Transfer, Thermodynamics concepts to understand various advanced concepts.

4. Even in computer programming and research, linear algebra plays a part in the forms such as 1-D arrays. 2-D arrays

5. Signal Analysis, design computer graphics using curves such as Bezier curves etc.

6. Advances use of eigne vectors is used for component analysis such as facial recognition


In this course we cover following:

The basics of matrices such as Determinant and its properties, Inverse of matrix etc are explained in section 1.

Once student is familiarized with basics, Concept - System of  Equations is explained. Then comes Eigen values and vectors and finally followed by LU decomposition and related explanations.

14  problems of different model each are covered for benefit of students involving almost all the concepts of matrices covered in the course.

To make course a bit interactive, 2 quizzes are also included to test yourself.

Who this course is for:

  • Engineering Students with weak Mathematics background
  • Aspirants of engineering competitive exams such as GATE

Report abuse