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Matrix Algebra
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 higher-dimensional analogs of linear functions of the form f(x) = cx, where c is a
constant. They can be added and subtracted entry-wise, 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.
- Wikipedia| Addition & Subtraction | Multiplication by a Scalar Constant |
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![Matrix Algebra kA = [kaij] - RF Cafe](images/matrix3.gif){kind=small}
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| Multiplication | Inverse |
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Copyright: 1996 - 2026 |
About RF Cafe 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. Dial-up modems blazed along at 14.4 kbps while tying up your telephone line, and a lady's voice announced "You've Got Mail" when a new message arrived... |
Copyright 1996 - 2026 All trademarks, copyrights, patents, and other rights of ownership to images
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