Block matrix

Determinant of a block matrix

In this video, I calculate the determinant of a block matrix and show that the answer is what you expect, namely the product of the determinants of the blocks. This is useful for instance in the proof of the Cayley Hamilton theorem, but also in the theory of Jordan Forms. Cayley-Hamilton

From playlist Determinants

Block Diagonal Matrices

Every operator on a finite-dimensional complex vector space has a matrix (with respect to some basis of the vector space) that is a block diagonal matrix, with each block itself an upper-triangular matrix that contains only one eigenvalue on the diagonal.

From playlist Linear Algebra Done Right

What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

The Diagonalization of Matrices

This video explains the process of diagonalization of a matrix.

From playlist The Diagonalization of Matrices

Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

Fitting Models to Data and Matrix Multiplication

From playlist Introduction to Matrix Methods in Machine Learning

Linear Algebra 17h: Easy Eigenvalues - The Block Diagonal Structure

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

Chao Yang - Practical Quantum Circuits for Block Encodings of Sparse Matrices - IPAM at UCLA

Recorded 27 January 2022. Chao Yang of Lawrence Berkeley National Laboratory presents "Practical Quantum Circuits for Block Encodings of Sparse Matrices" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Many standard linear algebra problems can be solved on a quantum computer

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

Lecture 13 | Introduction to Linear Dynamical Systems

Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on generalized eigenvectors, diagonalization, and Jordan canonical form for the course, Introduction to Linear Dynamical Systems (EE263). Introduction to applied linear algebra and linear d

From playlist Lecture Collection | Linear Dynamical Systems

Topics in Combinatorics lecture 7.4 --- The Marcus-Tardos theorem

We say that a permutation pi of {1,2,...,k} is contained in a permutation sigma of {1,2,...,n} if we can find k elements of {1,2,...,n} that are reordered by sigma in the way that pi reorders {1,2,...,k}. For instance, the permutation 2413 (meaning that 1 goes to 2, 2 goes to 4, 3 goes to

From playlist Topics in Combinatorics (Cambridge Part III course)

Paola Boito: Topics in structured linear algebra - lecture 1

CIRM VIRTUAL EVENT Recorded during the meeting "French Computer Algebra Days" the March 01, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio

From playlist Virtual Conference

Lec 9 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis

Lecture 9: Solution of equilibrium equations in static analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Linear Finite Element Analysis

Lecture 18 (CEM) -- Plane Wave Expansion Method

This lecture steps the student through the formulation and implementation of the plane wave expansion method. It describes how to construct electromagnetic band diagrams and isofrequency contours. As bonus sections, it describes how to handle band crossing, how to implement the efficient

From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering

28. Similar Matrices and Jordan Form

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 28. Similar Matrices and Jordan Form License: Creative Commons BY-NC-SA More information at ht

From playlist MIT 18.06 Linear Algebra, Spring 2005

14. Caching and Cache-Efficient Algorithms

MIT 6.172 Performance Engineering of Software Systems, Fall 2018 Instructor: Julian Shun View the complete course: https://ocw.mit.edu/6-172F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63VIBQVWguXxZZi0566y7Wf Prof. Shun discusses associativity in caches, the idea

From playlist MIT 6.172 Performance Engineering of Software Systems, Fall 2018

Determinants of Triangular Matrices

This video explains the short cut for finding determinants of triangular matrices.

From playlist The Determinant of a Matrix

Example of Rational Canonical Form 3

Matrix Theory: We note two formulations of Rational Canonical Form. A recipe is given for combining and decomposing companion matrices using cyclic vectors.

From playlist Matrix Theory