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Copyright: 1996  2024 Webmaster:
Kirt Blattenberger,
BSEE  KB3UON
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling
2 MB. Its primary purpose was to provide me with ready access to commonly needed
formulas and reference material while performing my work as an RF system and circuit
design engineer. The World Wide Web (Internet) was largely an unknown entity at
the time and bandwidth was a scarce commodity. Dialup modems blazed along at 14.4 kbps
while typing up your telephone line, and a nice lady's voice announced "You've Got
Mail" when a new message arrived...
All trademarks, copyrights, patents, and other rights of ownership to images
and text used on the RF Cafe website are hereby acknowledged.
My Hobby Website:
AirplanesAndRockets.com


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Matrix Definitions 
In mathematics, a matrix
(plural matrices, or less commonly matrixes) is a rectangular array of numbers, as shown at the right. One use of
matrices is to keep track of the coefficients in a system of linear equations. Matrices can also represent linear
transformations, which are higherdimensional analogs of linear functions of the form f(x) = cx, where c is a
constant. They can be added and subtracted entrywise, and multiplied according to a rule corresponding to
composition of linear transformations. These operations satisfy the usual identities, except that matrix
multiplication is not commutative: the identity AB=BA can fail. For a square matrix, the determinant and inverse
matrix (when it exists) govern the behavior of solutions to the corresponding system of linear equations, and
eigenvalues and eigenvectors provide insight into the geometry of the associated linear transformation.
Matrices find many applications. Physics makes use of them in various domains, for example in geometrical optics
and matrix mechanics. The latter also led to studying in more detail matrices with an infinite number of rows and
columns. Matrices encoding distances of knot points in a graph, such as cities connected by roads, are used in
graph theory, and computer graphics use matrices to encode projections of threedimensional space onto a
twodimensional screen. Matrix calculus generalizes classical analytical notions such as derivatives of functions
or exponentials to matrices. The latter is a recurring need in solving ordinary differential equations. Serialism
and dodecaphonism are musical mouvements of the 20th century that utilize a square mathematical matrix (music) to
determine the pattern of music intervals.  Wikipedia

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