Quadratic forms | Linear algebra

Definite quadratic form

In mathematics, a definite quadratic form is a quadratic form over some real vector space V that has the same sign (always positive or always negative) for every non-zero vector of V. According to that sign, the quadratic form is called positive-definite or negative-definite. A semidefinite (or semi-definite) quadratic form is defined in much the same way, except that "always positive" and "always negative" are replaced by "never negative" and "never positive", respectively. In other words, it may take on zero values for some non-zero vectors of V. An indefinite quadratic form takes on both positive and negative values and is called an isotropic quadratic form. More generally, these definitions apply to any vector space over an ordered field. (Wikipedia).

Video thumbnail

Find the value of c that completes the square

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Find the value of c that completes the square

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Find the value of c that completes the square

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Definite & Indefinite Quadratics (1 of 2: Using the discriminant)

More resources available at www.misterwootube.com

From playlist Working with Functions

Video thumbnail

Learn how to find the value that makes a perfect square with fractions

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Finding the value of C for a perfect square

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Find the value of c that completes the square then convert

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Learn to find the zeros of a quadratic using the quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | Equation

Video thumbnail

How to find the value of c when given a fraction

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Yonatan Harpaz - New perspectives in hermitian K-theory I

For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu

From playlist New perspectives on K- and L-theory

Video thumbnail

Quadratic forms and Hermite constant, reduction theory by Radhika Ganapathy

Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

Video thumbnail

Lecture 16 | Introduction to Linear Dynamical Systems

Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the use of symmetric matrices, quadratic forms, matrix norm, and SVDs in LDS for the course Introduction to Linear Dynamical Systems (EE263). Introduction to applied linear algebra and l

From playlist Lecture Collection | Linear Dynamical Systems

Video thumbnail

Tobias Braun - Orthogonal Determinants

Basic concepts and notions of orthogonal representations are in- troduced. If X : G → GL(V ) is a K-representation of a nite group G it may happen that its image X(G) xes a non-degenerate quadratic form q on V . In this case X and its character χ : G → K, g 7 → trace(X(g)) are called ortho

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

Video thumbnail

Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]

Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration

From playlist Number Theory

Video thumbnail

Quadratic Forms -- Number Theory 27

Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Number Theory v2

Video thumbnail

Quadratic Forms -- Number Theory 27

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Number Theory

Video thumbnail

Renaud COULANGEON - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, ... 1

Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms The talks of Coulangeon will introduce the notion of perfect, eutactic and extreme lattices and the Voronoi's algorithm to enumerate perfect lattices (both Eulcidean and He

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

Video thumbnail

Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]

Jacob Lurie Wednesday, August 28 3:10PM Tamagawa Numbers and Nonabelian Poincare Duality, I Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: Let q and q0 be positive definite integral quadratic forms. We say that

From playlist Number Theory

Video thumbnail

Learn how to find the value c that completes the square

👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Video thumbnail

Interpreting Polynomial Structure Analytically - Julia Wolf

Julia Wolf Rutgers, The State University of New Jersey February 8, 2010 I will be describing recent joint efforts with Tim Gowers to decompose a bounded function into a sum of polynomially structured phases and a uniform error, based on the recent inverse theorem for the Uk norms on Fpn b

From playlist Mathematics

Related pages

Hyperbola | Isotropic quadratic form | Quadratic form | Positive-definite function | Diagonal matrix | Mathematics | Symmetric bilinear form | Vector space | Ellipse | Second partial derivative test | Conic section | Euclidean vector | Matrix (mathematics) | Ordered field | Real number | Parabola | Polarization identity | Symmetric matrix