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Determinant Calculator

To compute the determinant, enter the values of a matrix and select its order in the Determinant of a matrix calculator.

Matrix Determinant Calculator

This determinant calculator can find the determinant of the matrix of order 2*2, 3*3, 4*4, and 5*5. The modern design of this calculator allows entering values easily without error. 

Definition - Determinant of the matrix

A determinant is a function of the scalar matrix which gives certain information about the matrix. This information is related to the inverse of a matrix, area of triangle e.t.c.

Determinant of matrix

How to find the determinant of a matrix?

The method of determinant differs for each order. Below are the methods for computing determinants of the matrix of order 22 and 33.

Determinant of matrix 2 by 2:

Determinant of 2 by 2 matrix

Determinant = (a)(d) - (b)(c) 

= (3)(6) - (4)(5)

= -2

Determinant of matrix 3 by 3:

DEterminant matrix 3 by 3

The formula of 3 by 3 matrix is: 

=a {(e * i)-(f*h)}-b {(d*i)-(f*g)}+c{(d*h)-(e*g)}

Put the values in the formula:

Determinant formula

 = 3 {( 3*4 ) - ( 6*5 )} - 4 {(7*4 ) - ( 6*1 )} + 5 {( 7*5 ) - ( 3*1 )}

 = 3 (-18) - 4 (22) + 5 (32)

 = - 54 - 88 + 160

 = -142 + 160

 = 18