determinant class 12| how to find determinant | how to find determinant of a matrix | #Epselon

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20.8 هزار بار بازدید - 3 سال پیش - Hi, thanks for watching our
Hi, thanks for watching our video about Determinant !

In this video we’ll walk you through:
How to find determinant of 2x2 matrix and 3x3 matrix?

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TIMESTAMPS
0:00 Intro
0:21 Determinant of 2x2 matrices
2:10 Determinant of 3X3 matrices
7:05 Outro

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                                                                    Determinant
                                                                 ****************
About:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Calculation:
To calculate a determinant you need to do the following steps.
Set the matrix (must be square).
Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero.
Multiply the main diagonal elements of the matrix - determinant is calculated.

Notation:
The determinant of a matrix A is denoted det(A), det A, or |A|. Each determinant of a 2 × 2 matrix in this equation is called a minor of the matrix A. ... In geometry, the signed n-dimensional volume of a n-dimensional parallelepiped is expressed by a determinant.

What is determinant used for?
The determinant is useful for solving linear equations, capturing how linear transformation change area or volume, and changing variables in integrals. The determinant can be viewed as a function whose input is a square matrix and whose output is a number.

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