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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(y1)+1)?
 Volume of a Tetrahedron [01/23/2002]

The volume of a tetrahedron is onethird 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?
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