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Laplace expansion, determinant of 4x4 matrix

With the help of the calculator you will calculate the determinant of the fourth degree matrix by the Laplace Expansion method. You will learn step by step how the calculations are performed and we will get explanations of each action. A useful tool for learning, consolidating, checking your own calculations and understanding the Laplace method.

Laplace expansion - short information

Laplace Expansion – the determinant of matrix A is equal to the sum of the products of the elements of the selected row or column by their algebraic complement.

Algebraic complement A_ij matrix element in i -th row and j -th column a_ij we call a number equal to the product of minor M_ij corresponding to this element and the expression (-1)^i+j.

A_ij=(-1)^i+j·detM_ij

More information Laplace expansion - Wikipedia (EN)

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