Matrix Determinant Calculator

 Finding the determinant of a 2x2 matrix

In linear algebra, the determinant is a scalar value that can be calculated from a square matrix. The determinant of a 2x2 matrix can be found using the following formula:

det(A) = (A * D) - (B * C)

where A is the matrix:

A = [A B]

      [C D]

Example

Let's find the determinant of the following matrix:

A = [3 4]

      [2 1]

Step 1: Plug the values of the matrix elements into the formula:

Date(A) = (3 * 1) - (4 * 2)

Step 2: Simplify the expression:

Date(A) = 3 - 8

Step 3: Calculate the final result:

Date(A) = -5

Therefore, the determinant of matrix A is -5.

Matrix Determinant Calculator