LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  

Let v denote a column vector of the nilpotent matrix Pi(A)(A − λ iI)ni
Let v denote a column vector of the nilpotent matrix Pi(A)(A − λ iI)ni

Matrix Algebra Tutorial
Matrix Algebra Tutorial

Test 1
Test 1

The Tangent Space
The Tangent Space

Quiz 2 - CMU Math
Quiz 2 - CMU Math

Ch 16 Geometric Transformations and Vectors Combined Version 2
Ch 16 Geometric Transformations and Vectors Combined Version 2

2
2

TRIANGLES: 1. Law of Sines
TRIANGLES: 1. Law of Sines

... 1. Law of Sines ...
Problem set 4
Problem set 4

... Due at the beginning of class on Tuesday, August 18. Matrix of discretized derivative In the lecture it was mentioned that Newton’s equation ẍ = f could be written as a matrix equation when discretized. Here you will do this for the simpler problem of the first derivative. Given the position of a p ...
Physics 880K20 (Quantum Computing): Problem Set 1. David Stroud, instructor
Physics 880K20 (Quantum Computing): Problem Set 1. David Stroud, instructor

Differential Equations with Linear Algebra
Differential Equations with Linear Algebra

Sample Questions Q.1 : Consider two inertial reference frames S
Sample Questions Q.1 : Consider two inertial reference frames S

Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.