Matrix Determinant Calculator (2x2, 3x3)

command: det

You can calculate the determinant of a 2x2, 3x3 matrix. Paste det [[1,2],[3,4]] in the header form, and press Enter key with cursor focused in the form. The determinant of [[1,2],[3,4]] is −2.


Command det returns the determinant of a square matrix. Each element in matrix is separated by a comma and each row is enclosed in [ and ]. Round bracket ( or ) doesn't express matrix or vector.


det [[1,0],[0,1]]

The determinant of [[1,0],[0,1]] is 1. This matrix is called an identity matrix. The determinant of an identity matrix is always 1.

det [[1,-3],[2,5]]

The result is 11.

The calculator can read not only numbers but alphabets. Alphabets are regarded as variables.


The above screen shot shows the determinant formula. The determinant of [[a,b],[c,d]] (2 dimension matrix) is ad−bc.

\[ \left| \begin{array}{cc} a & b \\ c & d \end{array} \right| = ad−bc \]