Udemy
    •  
    •  
    •  
    •  
    •  
    •  
    •  
    •  
Subscribe
Turn what you know into an opportunity and reach millions around the world.
Learn More
Your cart is empty.
Keep shopping
Matrices for physics
Rating: 4.4 out of 5(83 ratings)
3,533 students

Matrices for physics

A first step for beginning modern physics, this course contain Einstein summation convention and more
Created byMohamed Elboudour Elidrissi
Last updated 4/2023
English

What you'll learn

  • Ability to understand some subject in modern physics
  • Einstein summation convention
  • Coupled equation and matrices
  • Determinants
  • Identity matrix
  • Cofactors

Course content

2 sections • 7 lectures • 1h 5m total length

  • Einstein summation convention9:52

    Explore Einstein's summation convention by expressing vectors in a basis with repeated indices, showing how sums simplify multi-dimensional components from two dimensions to hundred dimensions.

  • Einstein summation convention, examples6:33

    Explore the Einstein summation convention with concrete two- and three-dimensional examples, showing how repeated indices imply sums and how nine terms arise in three dimensions.

  • Coupled equations and matrices24:56

    Explore solving coupled equations with matrices, using coefficient matrices, square matrices, and column vectors; apply matrix multiplication and Einstein summation convention to relate unknowns x and y to constants.

  • Determinants8:01

    Learn to compute determinants for square matrices. Start with 2x2 det = a11 a22 − a12 a21, and apply cofactor expansion with alternating signs for 3x3 matrices.

  • Identity matrix8:21

    Examine the identity matrix and its property of leaving a matrix unchanged when multiplied. Compare with general matrices where AB may differ from BA, using simple 2x2 examples to illustrate.

  • Cofactors8:01

    Learn to find the inverse of a matrix using cofactors, minors, and determinants for physics applications. Apply the cofactor method to compute inverse elements from 1/det(A) times the corresponding cofactor.

Requirements

  • Basic algebra

Description

If you want to begin a modern subject in physics you encounter some mathematics concept, like matrices, for example in analytical mechanics or relativistic quantum mechanics we have matrices and we use Einstein summation convention, if you don't know this convention it would be impossible for you to start like those courses, but we have for you a solution! this course is specially designed for physics students or anyone want to start modern physics.

So in this course we have:

  • Einstein summation convention

  • Coupled equations and matrices

  • Determinants

  • Identity matrix

  • Cofactors

Who this course is for:

  • Physics students
  • Engineering student
  • Modern physics students

Report abuse