Matrices and Fourth Dimension
How can matrices relate to the 4th dimension?
A matrix is a set of numbers in a pattern that relates one set of dimensions
to another. A 4-by-4 matrix can transform one 4 dimensional quantity (a
space-time vector) into another. It can also be used as part of a
relationship between two 4 dimensional objects, acting very much like a
fancy multiplication. Because matrices are a general mathematical form,
they can actually relate to anything that is at least two-dimensional.
Dr. Ken Mellendorf
Illinois Central College
They are only loosely connected. A matrix is a mathematical entity: an
array of numbers containing 'n' rows and 'm' columns that obeys certain
algebraic rules of addition, subtraction, multiplication, and division. The
algebra of matrices makes them useful in a wide variety of applications in
the physical sciences and engineering. There is no special connection to
the dimensionality of a space.
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Update: June 2012