What is the use of Table in Mathematica?

What is the use of Table in Mathematica?

Table uses the standard Wolfram Language iteration specification. Table evaluates its arguments in a nonstandard way. Table[expr,spec] first evaluates spec, then localizes the variable specified and successively assigns values to it, each time evaluating expr.

How do you create a matrix in Mathematica?

Select Insert ▶ Table/Matrix ▶ New: In the window that appears, select Matrix (List of lists), enter the number of rows and columns for your matrix, and click OK: Your matrix is inserted into your notebook: Copy to clipboard.

What is module in Mathematica?

Module allows you to set up local variables with names that are local to the module. Module creates new symbols to represent each of its local variables every time it is called. Symbols created by Module can be returned from modules.

What is plot points in Mathematica?

PlotPoints. Cell[BoxData[“PlotPoints”], “Input”, CellTags -> “PlotPoints_templates”] is an option for plotting functions that specifies how many initial sample points to use.

How to multiply matrices in Mathematica?

Mathematica uses two operations for multiplication of matrices: asterisk (*) and dot (.). The asterisk command can be applied only when two matrices have the same dimensions; in this case the output is the matrix containing corresponding products of corresponding entry. For example, we multiply two 2×3 matrices:

What is the trace of a matrix in Mathematica?

The trace of a matrix is the sum of its diagonal elements. As a simple introductory example, consider 2×2 matrix of zero trace: A = [ − 0 1 − 1 0]. As you see, Mathematica has a dedicated command to evaluate the trace: Tr [·], which we will abreviate as tr (·).

How do I enter matrices in the Wolfram Language?

They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. The Wolfram Language also has commands for creating diagonal matrices, constant matrices, and other special matrix types. A matrix can be entered directly with { } notation:

How to avoid frozen matrices in Mathematica?

There are two ways to avoid frozen matrices (from TraditionalForm or MatrixForm) that are kept by Mathematica in traditional form as a single unit (or image). The motivation for this is so that the matrix operations can be performed on the matrices we define.