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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 understandis 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 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.
 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.
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