The real matrix

This object is characterized by the number of rows, the number of columns and the real terms of each cell.

A real matrix can be defined :

By giving a formula to each term of the matrix.

Use icon at the right of the calculations toolbar and choose Matrix.

By providing a formula of a two variable function of variable (i, j) where i is the row index and j the column index (starting from 1)

Use icon at the right of the calculations toolbar and choose Matrix by formula.

For instance, the formula if(i=j, 1, 0) will provide an identity matrix.

By a matrix calculation :

Use icon at the right of the calculations toolbar and choose Matrix calculation.

If, for instance,A is an invertible matrix of dimensions 3x3 and B is a 3x2 matrix, the matrix calculation defined by the formula A^(-1)*B will return a 3x2 matrix (A^(-1) returning the inverse of matrix A).

But a matrix calculation defined by the formula B*A won't exist (invalid matrix product).

By defining a matrix with random integer values :

Use icon at the right of the calculations toolbar and choose Matrix with random integer values.

Such a matrix is defined through the number of rows, number of lines, a minimal and a maximum values (integer).

The minimum value must be inferior to the maximum value.

When such a matrix is updated, all the cell of the matrix will be given distinct integer values ranging form min value to max value. If the difference between max and min value is not big enough, there will be repetitions (the lines being filled first)

By including data pasted from a worksheet :

Select the desired numerical data in the worksheet then use icon at the right of the calculations toolbar and choose Matrix by worksheet data.

By creating a two columns matrix giving the primary decomposition superior or equal to 2.

Use icon at the right of the calculations toolbar and choose Matrix of primary decomposition.

The first column of the matrix will contain the primary factors and the second one will provide the mathing exponents.

The number to be decomposed must be in the range 2  -> 10 000 000.

By creating a two columns matrix columns of which are coordinates pf points of the figure.

Use icon at the right of the calculations toolbar and choose Matrix of coordinates.

To be noted : You ca also create a set of points coordinates of which are contained in a two columns matrix. For this use icon at the bottom of the left toolbar ans choose Set of points by 2 columns matrix. This point creation is dynamic : The matrix changes when the points move.