Determinant Of Matrix

1. Determinant of the Two Order Matrices

Ex:

Then the determinant of A(det(A)) is:

Example:
Determine the determinant of the matrix below!

Answer:

2. Determinant of the Three Order Matrices

Suppose a square matrix with an order not given is given below:

Then the determinant of the matrix is:

There are many ways that can be used to calculate the determinant of matrices with 3 x 3 orders, but the most widely used is by using sarrus rules. With the steps as follows:

Put the first and second columns to the right of the vertical line of the determinant.
The number of times the elements located on the main diagonal with the product times the elements that are parallel to the main diagonal in the right direction, then subtracted by the product times the elements lying parallel to the side diagonal.

Consider the scheme to calculate using the following sarrus rules:

Example:
Determine the determinant of the matrix below!

Answer:

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