# Product of Determinants Calculator

The determinant of a matrix A is denoted as det(A), det A, or |A|. The determinant is computed only from the elements of a square matrix, because matrix multiplication is possible between square matrices. A determinant can also be defined as a squared array of numbers (written within a pair of vertical lines) which represents a certain sum of products. To determine a determinant, we multiply across rows of the first matrix and down columns of the second matrix, element by element, then we add the resulting products. The process is the same for any size matrix.

## Calculate Product of 3x3, 2x2 Determinants

The determinant of a matrix A is denoted as det(A), det A, or |A|. The determinant is computed only from the elements of a square matrix, because matrix multiplication is possible between square matrices. A determinant can also be defined as a squared array of numbers (written within a pair of vertical lines) which represents a certain sum of products. To determine a determinant, we multiply across rows of the first matrix and down columns of the second matrix, element by element, then we add the resulting products. The process is the same for any size matrix.

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#### Formula

Product of determinants = |A| x |B|
A determinant can be determined as shown below. Below is the simple calculator which helpts to calculate the product of the determinants between two 2x2 or 3x3 matrices.

Determinant of Matrix A:

|a b|

|c d|

= ad - cb.