Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ

 TOPICS This page:   linear algebra    Search   Dr. Math See also the Internet Library:   linear algebra COLLEGE Algorithms Analysis Algebra    linear algebra    modern algebra Calculus Definitions Discrete Math Exponents Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean Imaginary/Complex   Numbers Logic/Set Theory Number Theory Physics Probability Statistics Trigonometry Browse College Linear Algebra Stars indicate particularly interesting answers or good places to begin browsing. Tensor Calculus [03/06/1998] Scalars, vectors, and tensors, and their components. Two Methods for Finding an Optimum Point in 3D Space [10/24/2005] I have more than two lines in space which should intersect but don't because of measuring errors. How can I find the optimum intersection point that minimizes the error? Understanding Vector Spaces [03/14/2001] What does a vector space in R^n mean? How can I prove that a list of numbers is a vector space? Unit Vectors [07/02/2002] Find the two unit vectors that are collinear with each of the following vectors. (a) vector A = (3, -5). I don't understand--is a unit vector only ever equal to 1? Using an Augmented Matrix [11/21/1999] Solve the set of simultaneous equations x+3y+z=3, x+5y+5z=1 and 2x+6y+ 3z=8 using an augmented matrix? Vandermonde Determinant [02/11/2003] Compute the n x n determinant... Vector Algebra: Finding the Intersection Point [04/23/2003] If I have two lines in three dimensions that I know intersect at some point, how do I work out what that point is? Both lines are defined by two points on each line. Vectors and Orientation [05/29/2003] I am trying to write a game involving spaceships, and I have been having trouble finding relative positions. Vectors and the Volume of Parallelepipeds [03/08/2003] Explain the derivation of the formula V = |a.(b x c)| (the volume of a parallelepiped is equal to the magnitude of the scalar triple product of the vectors that determine the parallelepiped; where a, b, and c are those vectors). Vector Space Dimensions [12/09/1997] Why does C^2 considered as a vector space over the complex numbers have dimension 2, but as a vector space over the real numbers have dimension 4? Volume of a Tetrahedron [01/23/2002] The volume of a tetrahedron is one-third the distance from a vertex to the opposite face, times the area of that face. Find a formula for the volume of a tetrahedron in terms of the coordinates of its vertices P, Q, R, and S. Why Transpose a Matrix? [03/23/2008] Why is a transpose of a matrix needed? I know how to transpose a matrix, I just don't know what purpose it serves. I have read through my text as well as consulted online help without finding any answers. Page: [

Search the Dr. Math Library:

 Search: entire archive just College Linear Algebra Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words