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matrix
In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. For example, the dimensions of the matrix below are 2 × 3 (read "two by three"), because there are two rows and three columns.
The individual items in an m × n matrix A, often denoted by ai,j, where max i = m and max j = n, are called its elements or entries. Provided that they are the same size (each matrix has the same number of rows and the same number of columns as the other), two matrices can be added or subtracted element by element (see Conformable matrix). The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second (i.e., the inner dimensions are the same, n for Am,n x Bn,p). Any matrix can be multiplied element-wise by a scalar from its associated field. A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x. For example, the rotation of vectors in three dimensional space is a linear transformation which can be represented by a rotation matrix R: if v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two transformation matrices is a matrix that represents the composition of two linear transformations. Another application of matrices is in the solution of systems of linear equations. If the matrix is square, it is possible to deduce some of its properties by computing its determinant. For example, a square matrix has an inverse if and only if its determinant is not zero. Insight into the geometry of a linear transformation is obtainable (along with other information) from the matrix's eigenvalues and eigenvectors.
Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to manipulate 3D models and project them onto a 2 dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the PageRank algorithm that ranks the pages in a Google search. Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions. Matrices are used in economics to describe systems of economic relationships.
A major branch of numerical analysis is devoted to the development of efficient algorithms for matrix computations, a subject that is centuries old and is today an expanding area of research. Matrix decomposition methods simplify computations, both theoretically and practically. Algorithms that are tailored to particular matrix structures, such as sparse matrices and near-diagonal matrices, expedite computations in finite element method and other computations. Infinite matrices occur in planetary theory and in atomic theory. A simple example of an infinite matrix is the matrix representing the derivative operator, which acts on the Taylor series of a function.
I've used this for three different builds, and it's time to pass it along to someone new.
This is everything you need (except the frame and actual parts) to be able to complete a home-made Matrix Precision Sig frame.
Included:
Matrix Precision Rail Cutter for 1911, 2011, Sig Sauer — MATRIX...
I've got a Matrix Precision complete Ruger MK Jig available. This can be used to take a random piece of 1" OD tubing and turn it into the functional receiver for a MK series pistol. The challenge, of course, is getting a Ruger MK series barrel (because most are only sold fitted and timed to the...
For sale:
Masterpiece Arms MPA Matrix Chassis, with fore-end weights.
Right-handed, standard night vision bridge
Inlet: Remington Short Action
Color: Gun Candy Kraken (color is impossible to capture in pictures as it changes upon lighting angle, visit guncandy.com for more pictures)
Comes with...
Misc AR parts.
Magpul acs stock sold
9.5 inch matrix arms hand guard keymod sold
13.5 inch matrix arms hand guard m-lok sold
Utg-pro drop in mid length gas system hand guard with triangle front cap. 70$
Strike industries curved angled fore grip m-lok or keymod sold
Strike industries viper mod 1...
***** Now asking only $650 ******
I have a Excalibur Matrix 380 for sale or trade. It has little use on it.
It's a "Big Game/Hunter Grade" crossbow that ia amazingly well built. It can be used to hunt all big game in the Americas and is often used to hunt deer/elk, moose/grizzly bear and even...