Ask Dr. Math High School Archive

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 HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Linear Algebra Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     Vector questions. 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? Vector Spaces [06/11/1999] How can I tell if V = {(x,y) in R^2 | y = 3x+1} a vector space when addition and scalar multiplication are defined by (x,y) + (x',y') = (x+x',y+y'-1) and k(x,y) = (kx,k(y-1)+1)? 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. Volume of Irregular Pyramid of Human Arm [7/24/1996] I form an irregular pyramid from my arm, forearm, shoulder and wrist in the rest position (forearm rested on a table). Is there any way to measure the volume of this irregular pyramid? What is a Loop? [10/06/1997] Further, exactly what is _an_ algebra? Thirdly, what is a Lie group? What is Nonlinear Math? [10/02/1997] What exactly is nonlinear math, and what is it used for? What is the Purpose of a Matrix? [11/04/2003] What is the purpose of a matrix? Why Does Matrix Multiplication Work the Way It Does? [09/13/2006] I understand how to multiply matrices, but I'm curious why the process involves the multiplication and addition steps. Can you show me why it works that way? Why Does the Least Squares Method Work for Line of Best Fit? [10/05/2007] My son is doing line of best fit in algebra. Can you explain the derivation of the least squares formula rather than just saying, 'Use this equation to solve for M and C in y = Mx + C?' Why They're Called Direction Cosines [09/11/2003] I would like to know how to find the angles between a 3D vector and the 3 coordinate axes, given the components of the vector. Yacht Distances and Vectors [09/05/1998] Can you help me find the smallest distance between two yachts using vectors? Page: [

Search the Dr. Math Library:

 Search: entire archive just High School 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