The Diagonalization of Matrices
This video explains the process of diagonalization of a matrix.
From playlist The Diagonalization of Matrices
This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com
From playlist Introduction to Matrices and Matrix Operations
Characterizations of Diagonalizability In this video, I define the notion of diagonalizability and show what it has to do with eigenvectors. Check out my Diagonalization playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCSovHY6cXzPMNSuWOwd9wB Subscribe to my channel: https://
From playlist Diagonalization
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
Determine the length of a diagonal of a rectangle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Using the properties of parallelograms to solve for the missing diagonals
👉 Learn how to solve problems with parallelograms. A parallelogram is a four-sided shape (quadrilateral) such that each pair of opposite sides are parallel and are equal. Some of the properties of parallelograms are: each pair of opposite sides are equal, each pair of opposite sides are pa
From playlist Properties of Parallelograms
Geometry - Basic Terminology (23 of 36) Rectangular Solids
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the diagonal of the solid and diagonal of the bottom of a rectangular solid. Next video in the Basic Terminology series can be seen at: http://youtu.be/x4uI-3AePY8
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
I introduce the Properties of Parallelograms...the opposite sides are equal, the opposite angles are equal, the consecutive angles are supplementary, and the diagonals bisect each other. I work through four algebraic examples in this video at 4:28 14:30 Find free review test, useful notes
From playlist Geometry
Diagonal Matrices are Freaking Awesome
When you have a diagonal matrix, everything in linear algebra is easy Learning Objectives: 1) Solve systems, compute eigenvalues, etc for Diagonal Matrices This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati
From playlist Linear Algebra (Full Course)
Systems of Differential Equations: Diagonalization and Jordan Canonical Form
It is only possible to perfectly diagonalize certain systems of linear differential equations. For the more general cases, it is possible to "block-diagonalize" the system into what is known as Jordan Canonical Form. This video explores these various options and derives the fully general
From playlist Engineering Math: Differential Equations and Dynamical Systems
At Most How Many Operations to Write a Tridiagonal Matrix in RREF?
This video explains how many elementary row operations and how many individual operations it could take to write a triangular matrix in reduced row echelon form.
From playlist Augmented Matrices
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
Mod-05 Lec-28 General Systems Continued and Non-homogeneous Systems
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Marina Iliopoulou: Three polynomial methods for point counting, Lecture IV
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
Example of Jordan Canonical Form: 2x2 Matrix
Matrix Theory: Find the Jordan form for the real 2 x 2 matrix A = [0 -4 \ 1 4]. For this matrix, there is no basis of eigenvectors, so it is not similar to a diagonal matrix. One alternative is to use Jordan canonical form.
From playlist Matrix Theory
I introduce many properties of Kites, work through three examples of finding missing angles, and finish with a quick two column proof. EXAMPLES 5:55 10:09 12:54 14:46 Find free review test, useful notes and more at http://www.mathplane.com A HUGE THANK YOU sent out to kariheedots for Cl
From playlist Geometry
Ex 2: Determinant of 3x3 Matrix - Diagonal Method
This video provides an example of how to calculate the determinant using the diagonal method. Site: http://mathispower4u.com
From playlist The Determinant of a Matrix