LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

MatrixPower[m, n] gives the n\[Null]\[Null]^th matrix power of the matrix m. MatrixPower[m, n, v] gives the n\[Null]^th matrix power of the matrix m applied to the vector v.

Raster[{{a_11, a_12, ...}, ...}] is a two-dimensional graphics primitive which represents a rectangular array of gray cells. Raster[{{{r_11, g_11, b_11}, ...}, ...}] ...

RealDigits[x] gives a list of the digits in the approximate real number x, together with the number of digits that are to the left of the decimal point. RealDigits[x, b] ...

ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

With Mathematica's citation management features, you can annotate and add references to research papers written using Mathematica. These features work in conjunction with the ...

NMinimize, NMaximize, Minimize, and Maximize employ global optimization algorithms, and are thus suitable when a global optimum is needed. Minimize and Maximize can find ...

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...