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determinant of a 3x3 matrix

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YOU.com answered on January 8, 2021 Popularity 10/10 Helpfulness 2/10

answer determinant of a 3x3 matrix

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determinant of a 3x3 matrix

Comment

def determinant_3x3(matrix):
    a, b, c = matrix[0]
    d, e, f = matrix[1]
    g, h, i = matrix[2]
    
    determinant = a * (e*i - f*h) - b * (d*i - f*g) + c * (d*h - e*g)
    
    return determinant

# Example matrix
matrix = [
    [1, 2, 3],
    [4, 5, 6],
    [7, 8, 9]
]

determinant = determinant_3x3(matrix)
print("Determinant of the matrix is:", determinant)

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Contributed on Sep 12 2023

YOU.com

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for 2x2: a b
		 c d

ad - bc

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Tags: matrix ma

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Contributed on Jan 08 2021

Blue Beetle

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determinant of 3x3 numpy

Comment

import numpy as np
arr=np.array([[1,2,3],[4,5,6],[7,8,9]])
arr
round(np.linalg.det(arr))

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Contributed on Jun 03 2021

Funny Falcon

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determinant of a matrix 3x3 calculator

Comment

def determinant_3x3(matrix):
    if len(matrix) != 3 or len(matrix[0]) != 3:
        raise ValueError("Input matrix should be 3x3")
    
    determinant = matrix[0][0] * (matrix[1][1]*matrix[2][2] - matrix[1][2]*matrix[2][1])
    determinant -= matrix[0][1] * (matrix[1][0]*matrix[2][2] - matrix[1][2]*matrix[2][0])
    determinant += matrix[0][2] * (matrix[1][0]*matrix[2][1] - matrix[1][1]*matrix[2][0])
    
    return determinant

# Example usage:
matrix = [[1, 2, 3],
          [4, 5, 6],
          [7, 8, 9]]

print(determinant_3x3(matrix))

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Contributed on Sep 12 2023

YOU.com

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determinant of 2x2 matrix

Comment

a b

c d

determinant = ad - bc

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Source: www.cuemath.com

Tags: matrix ma

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Contributed on May 01 2023

WizardX11

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determinant of 4x4 matrix

Comment

The determinant of a nxn matrix can be found using Laplace's method.
Select a column or row (j) to traverse, then calculate the determinant.
The formula is the same, it's just swapping i and j as variables

If you selected a row, then it is:
sum(i=1, n, (-1)^i * a_ij * det(C_ij))

If you chose a column, then:
sum(j=1, n, (-1)^i * a_ij * det(C_ij))

In which:
a_ij means the element on the i-th row and j-th column of the matrix A
C_ij is the cofactor matrix, a matrix equal to A without the i-th row and j-th column

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Contributed on Dec 29 2023

nicolello.dev

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determinant of a 3x3 matrix

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