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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
Matrix Algebra Addition & Subtraction - RF Cafe    RF Cafe: Matrix Algebra Matrix Algebra kA = [kaij] - RF Cafe
Multiplication Inverse
RF Cafe: Matrix Algebra Matrix Algebra Multiplication - RF Cafe Matrix Algebra Dot Product - RF Cafe Matrix Algebra Inverse - RF Cafe RF Cafe: Matrix Algebra RF Cafe: Matrix Algebra RF Cafe: Matrix Algebra RF Cafe: Matrix Algebra


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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 typing up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

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