Sketch the graph of a factored polynomial using multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Sketching the graph of a polynomial using the zeros and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Determine the multiplicity and zeros and graph of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Sketch the graph of the polynomial by hand using zeros, multiplicity and end behavior
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
How to graph a polynomial from linear factorization
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
How to use the zeros and multiplicity to graph the equation of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Zeros, graphing, multiplicity polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Learn how to sketch the graph of a polynomial given factored form using multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Using multiplicity to help us sketch the graph of a polynomial
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
High-Performance Polynomial Algebra
The upcoming release of Mathematica includes significant performance improvements in polynomial algebra functions and in linear algebra for matrices of univariate polynomials. The release also includes functionality extensions in polynomial algebra over Zp. The improvements and extensions
From playlist Wolfram Technology Conference 2022
Yulong Dong - Fast algorithms for quantum signal processing - IPAM at UCLA
Recorded 24 January 2022. Yulong Dong of the University of California, Berkeley, presents "Fast algorithms for quantum signal processing" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: The recently developed quantum singular value transformation (QSVT) [Gilyen, Su, Low, Wie
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Advice for research mathematicians | The joy of maxel number theory: Chebyshev polys I | Wild Egg
We are advocating a larger view of number theory which goes from arithmetic with numbers to polynumbers to maxels. In this lecture we have a look at the Chebyshev polynumbers of the first kind from this larger linear algebraic point of view. Some surprises are in store! ******************
From playlist Maxel inverses and orthogonal polynomials (non-Members)
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
Matrix Invertibility With F[x]-Modules
Characteristic polynomial explanation: https://youtu.be/jCt6mR3QtPk Ring & Module Theory playlist: https://youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7 In this video, we use F[x]-modules to prove that a matrix is invertible if and only if its determinant is nonzero. Anoth
From playlist Ring & Module Theory
Mark Giesbrecht 4/23/15 Part 1
Title: I. Approximate Computation with Differential Polynomials: Approximate GCRDs II. Sparsity, Complexity and Practicality in Symbolic Computations Symbolic-Numeric Computing Seminar
From playlist Symbolic-Numeric Computing Seminar
Landau-Ginzburg - Seminar 6 - Matrix factorisations and geometry
This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Rohan Hitchcock defines matrix factorisations and gives some examples, and explains how to extract an algebraic set from a matrix factorisation.
From playlist Metauni
Example of Rational Canonical Form 1: Single Block
Matrix Theory: Let A be the real matrix [0 -1 1 0 \ 1 0 0 1 \ 0 0 0 -1 \ 0 0 1 0]. Find a matrix P that puts A into rational canonical form over the real numbers. We compare RCF with Jordan canonical form and review companion matrices. (Minor corrections added.)
From playlist Matrix Theory
11/14/2019, Erich Kaltofen, North Carolina State University
Erich Kaltofen, North Carolina State University Title: Proof-of-work Certificates for High Complexity Computations for Linear Algebra Abstract: Computations done by high-power cloud servers such as a Google data center can yield outputs that are easy to verify, such as the factors of an
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
LC001.01 - General introduction to matrix factorisations
Introduces the general idea of using operators (or matrices) to construct square roots of functions, including the complex numbers and Dirac's square root of the Laplacian. This is used to motivate the idea of a matrix factorisation of a polynomial, and then some examples are given includi
From playlist Metauni
Factoring by using a sum of cubes - Online tutor
👉 Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expression
From playlist How to factor a polynomial to a higher power