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General exponentials, love, Schrödinger, and more. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form ...
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Definition
Dynamics of love
Linear systems
General rotations
Visualizing with flow
Share your videos with friends, family, and the world.
YouTube-Leah Howard
Properties of this Identity Matrix
Identity Matrix
Identity Matrix Times any Matrix B
In the lesson, we have explained the Powers of a matrix. ❖ The power A^n of a matrix A for n a nonnegative integer n is defined as the ...
YouTube-Mulkek
Introduction
Rules of powers of a matrix
Note
Solve 1
Solve 2
YouTube-Power Matrix
We introduce powers of a matrix and exponent laws for matrices.
YouTube-Nathaniel Johnston
Introduction and definition
Properties (exponent laws)
Examples
Course Web Page: https://sites.google.com/view/slcmathpc/home.
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Using Eigenvalue Decomposition, we take a matrix to extremely large powers that would be too cumbersome to compute with standard matrix ...
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The Issue with Matrix Multiplication
Eigenvalue Decomposition
Comments4 · 22. Diagonalization and Powers of A · 6. Column Space and Nullspace · 15 - What is a Logarithm (Log x) Function? (Calculate Logs, ...
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Intro
Matrices Don't Commute Under Multiplication
Natural Log of a Matrix
Finding eigenvectors
Expressing A as a Diagonal Matrix
Multiplying Matrices
Multiplying by a symmetric matrix
Solving for Lambda
Finding the Identity Matrix
Complex numbers as matrices
This video shows how we we can use eigenvalues and eigenvectors to quickly find a formula for the nth power of a matrix.
YouTube-Dr. Powell's Math Classes
Using a Diagonal Matrix
Raising a Diagonal Matrix to a Power
Multiplying by a column
What does a matrix do to a vector?
Determinant of the matrix
Subtracting a scalar from a matrix
Finding the eigenvector for the eigenvalue -5
Finding the Eigenvectors
Finding d and p
Conclusion
http://adampanagos.org In this example we compute A^5 where A is a 2x2 matrix. Instead of performing a "brute force" computation we use the ...
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Computing the inverse of a matrix
Multiplying out the matrix
Computing a matrix to the 5th power
Using the diagonalization representation
Computing a diagonal matrix raised to a power
Computing a matrix to a power
MIT 18.06SC Linear Algebra, Fall 2011 View the complete course: https://ocw.mit.edu/18-06SCF11 Instructor: Ben Harris A teaching assistant ...
YouTube-MIT OpenCourseWare
Start of Problem
Finding the eigenvalues and eigenvectors
Eigenvectors
Finding the null space
Multiplying two matrices together
Checking the solution
Example 1
Summary
http://wwww.siemens.com/energy Language versions: Deutsch http://youtu.be/cEEcrpo-sbA English http://youtu.be/i6ydGKl-d9U One of today's ...
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In this video I showed how to raise a diagonalizable matrix to a power. Link to eigenvalues and eigenvector video ...
YouTube-Prime Newtons
Secret to Diagonalization
Diagonal Matrix
Square a diagonal matrix
Powers of a Matrix and Diagonalization. 8.8K views · 9 years ago ...more. Leah Howard. 4.51K. Subscribe. Like. Share. Save.
Formula for the power of a matrix
The Mth Power of a Matrix
Finding p inverse and d
Inverse of a 2x2 matrix
Finding D
Formula for A^M
Multiply two matrices together
Top Right Entry
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What condition a matrix must satisfy in order to be able to multiply itself?
What if we have a square matrix?
Examples of positive powers of matrices
Computing the cube of a matrix
Constructing the second matrix
Negative Integer Powers of a Square Matrix
... power A^n of a matrix A, where n is a negative integer is defined as the matrix product of n copies of the inverse of A To find the negative ...
The condition and properties
Review from the previous video
Solve 3
Solve 4
Final formula of A
This video is not stand-alone, but accompanies the free textbook at https://github.com/pbienst/active-math Background photo created by ...
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Calculate the eigenvalues of this matrix
Continue to evaluate the determinant
Solving this quadratic equation
Linear Algebra: Find the equation for A^n where A = [2 -1 0 \ 0 1 0 \ -3 -2 -1]. We put A in diagonal form by finding a basis of ...
YouTube-MathDoctorBob
Find a Formula for A to the n-th Power
Taking a Diagonal Matrix to a Power
Characteristic Polynomial
Basis of Eigenvectors
Checking Basis Vector
Reduced Row Echelon Form
Applying the Power Formula
Loading the eigenvectors into a matrix
Computing the Power Formula
This video explains how to determine a diagonal matrix raised to a power.
YouTube-Mathispower4u