** Steel, basically a solution of carbon atoms in a crystalline matrix of iron atoms.

** 401 ( k ) versus IRA comparison matrix

** Matrix exponential, the matrix analogue to the above

** Dot matrix printer's ink ribbon

** Office paper: dot matrix paper, inkjet paper, laser paper, Photocopy paper.

** Intersection matrix of the dimensionally extended nine-intersection model ( DE-9IM )

** Label: Victor 17412 ( matrix: 13628-2 )

** Label: Columbia A-1404 ( matrix: 38980-2 )

** Label: Victor 27258 ( matrix: 043925 )

** Label: Columbia 37392 ( matrix: CO 37671 )

** Label: MGM 10037 ( matrix: 47-S-3077-3 )

** The spectral radius of a matrix denoted as

** Density matrix

** CM chondrites are composed of about 70 % fine-grained material ( matrix ), and most have experienced extensive aqueous alteration.

** CO chondrites have only about 30 % matrix and have experienced very little aqueous alteration.

** CR chondrites have chondrules that are similar in size to those in ordinary chondrites ( near 1 mm ), few refractory inclusions, and matrix comprises nearly half the rock.

** Hurwitz matrix

** Fock matrix, a matrix approximating the single-electron energy operator

** 3rd press: 1000 black vinyl, yellow labels, separate lyricsheet, different matrix writing than earlier presses.

** A Halftone dithering matrix produces a look similar to that of halftone screening in newspapers.

** A Bayer matrix produces a very distinctive cross-hatch pattern.

** A matrix tuned for blue noise ( such as those generated by the void-and-cluster method ) produces a look closer to that of an error diffusion dither method.

** G. P. Egorychev and D. I. Falikman for proving van der Waerden's conjecture that the matrix with all entries equal has the smallest permanent of any doubly stochastic matrix.

** scalar multiplication,

** Vedic square, multiplication table

** Closure axiom for multiplication: Given two integers a and b, their product, a · b is also an integer.

** Associativity of multiplication: Given any integers, a, b and c, ( a · b ) · c

** division, the mathematical operation that is the inverse of multiplication

** Homogeneous dilation ( homothety ), the scalar multiplication operator on a vector space or affine space

** Commuting matrices, sets of matrices whose products do not depend on the order of multiplication

** dot operator, used as notation for multiplication ( )

** multiplication by 2

** Operator algebra: continuous linear operators on a topological vector space with multiplication given by the composition.

** Her mask has a unique math symbol ( a combination of the addition, multiplication and division symbols ) on the front, and three white horizontal stripes splitting the heart-shaped visor into four parts indicates her being the fourth member.

The < tt > MixColumns </ tt > step can also be viewed as a multiplication by a particular MDS matrix in a finite field.

* Any ring of matrices with coefficients in a commutative ring R forms an R-algebra under matrix addition and multiplication.

Other examples are readily found in different areas of mathematics, for example, vector addition, matrix multiplication and conjugation in groups.

For a finite-dimensional vector space, using a fixed orthonormal basis, the inner product can be written as a matrix multiplication of a row vector with a column vector:

and then it is understood that a bra next to a ket implies matrix multiplication.

The ket can be computed by normal matrix multiplication.

Then the bra can be computed by normal matrix multiplication.

For a finite-dimensional vector space, the outer product can be understood as simple matrix multiplication:

The advantage of doing this is that then all of the euclidean transformations become linear transformations and can be represented using matrix multiplication.

In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces ; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication.

The set of all 2 × 2 matrices is also a ring, under matrix addition and matrix multiplication.

* The group GL < sub > n </ sub >( R ) of invertible matrices ( under matrix multiplication ) is a Lie group of dimension n < sup > 2 </ sup >, called the general linear group.

While studying compositions of linear transformations, Arthur Cayley was led to define matrix multiplication and inverses.

* In matrix multiplication, there is actually a distinction between the cross and the dot symbols.

From the definition of matrix multiplication, there exists an × matrix, such that.

Cayley table of the symmetric group S < sub > 3 </ sub >( multiplication table of permutation matrix | permutation matrices ) These are the positions of the six matrices: File: Symmetric group 3 ; Cayley table ; positions. svg | 310px Only the unity matrices are arranged symmetrically to the main diagonal-thus the symmetric group is not abelian.

Ordinary vector algebra uses matrix multiplication to represent linear maps, and vector addition to represent translations.

Formally, in the finite-dimensional case, if the linear map is represented as a multiplication by a matrix A and the translation as the addition of a vector, an affine map acting on a vector can be represented as

Using an augmented matrix and an augmented vector, it is possible to represent both the translation and the linear map using a single matrix multiplication.

; Loop nest optimization: Some pervasive algorithms such as matrix multiplication have very poor cache behavior and excessive memory accesses.

The sum and product of dual numbers are then calculated with ordinary matrix addition and matrix multiplication ; both operations are commutative and associative.