Jordan Normal Form

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Related lectures (29)

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Eigenvalues and Matrix Equations: A Comprehensive Analysis

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

Interlacing Polynomials

Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.

Polynomials on a Field: Basics and Operations

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Polynomials: Operations and Properties

Explores polynomial operations, properties, and subspaces in vector spaces.

Polynomial Averaging: Root Pairing

Delves into the concept of averaging polynomials and the significance of pairing up roots.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Polynomials: Rings and Operations

Covers the basics of polynomials, focusing on rings, operations, and properties.

Vector Spaces and Linear Applications

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Attack on RSA using LLL

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.