determinant of 2x2 matrix

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WizardX11 answered on May 1, 2023 Popularity 10/10 Helpfulness 1/10

answer determinant of 2x2 matrix

related determinant of a 3x3 matrix

related determinant of 4x4 matrix

determinant of 2x2 matrix

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a b

c d

determinant = ad - bc

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Source: www.cuemath.com

Tags: matrix whatever

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Contributed on May 01 2023

WizardX11

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determinant of a 3x3 matrix

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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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determinant of 4x4 matrix

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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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Source: Grepper

Tags: matrix ma

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Contributed on Dec 29 2023

nicolello.dev

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determinant of 2x2 matrix

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