Determinant of 4×4 matrix online

Resuelve el determinante de una matriz 4x4 online with our calculator and learn how it is calculated using one of the following methods.

If you want to calcular online el determinante de una matriz 4x4Just fill in the values in our calculator and press the calculate button to get the result you are looking for:

Cómo se calcula el determinante de una matriz 4x4 por adjuntos

A very simple way to calcular el determinante de una matriz 4x4 consists of using the attachment method. This method consists of:

  1. Elegir una fila o columna de la matriz 4x4 that has as many zeros as possible. In case there is none that meets this requirement, you can choose any row or column.
  2. Once we have the row selected, we multiply each element of the line by its adjoining determinant, es decir, el determinante que obtenemos al eliminar la fila y columna a las que pertenece dicho elemento. Además, al resultado de cada determinante adjunto le acompañará el signo + o - que corresponda según la posición que ocupa en la matriz y teniendo en cuenta la siguiente colocación:

Matrix-4x4-assemblies

Ejemplo de determinante de matriz 4x4 por adjuntos

Example of 4x4 determinant

If the explanation is not very clear, we are going to see below a ejemplo de determinante 4x4 resuelto por el método de los adjuntos.

As we said before, the first thing we are going to do is to choose a row or column. As there are none with zeros, let's choose the first column teniendo en cuenta los signos + y - that will accompany each element:

Determinant 4x4 by adjuncts

Now we have to extract the adjoint determinants of each element (eliminando la fila y columna a la que pertenece dicho elemento de la matriz 4x4)  y resolver cada determinante 3x3 resultante:

4x4 determinant solved by adjuncts

This method is valid for solving determinants of larger size and although it is a bit laborious because of the number of operations to be performed, it is simple to execute once you know the mechanics of the attachment method.

Método Sarrus para calcular una matriz 4x4

The Sarrus rule serves to calcular un determinante de 3x3 but no se puede aplicar para determinantes de 4x4.

Sacar el determinante de una matriz 4x4 en Excel

Excel can help you calcular el determinante de una matriz 4x4. To do this, the first thing to do is to open a new spreadsheet and write in it the elements of the matrix, each one in a different cell.

When you have the determinante 4x4 In Excel, choose an empty cell and write the following formula in it:

=MDETERM()

Between the parentheses you must write the range of cells in which the determinant is located. For example, if you have occupied the range A1:D4, the formula should be written like this:

=MDETERM(A1:D4)

Next, you will see that Excel automatically calculates for you the resultado del determinante 4x4 you have written.

If you have any doubts about how to do it, we recommend you to watch the video we have recorded and in which we demonstrate how to do it. cómo calcular el determinante de la matriz 4x4 con Excel.

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