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Determinant Calculator

Determinant Calculator is use to calculate determinant of 2x2, 3x3, 4x4 and 5x5.

Input

Output

Determinant
0

Formula

det2
  • det = Determinent
  • a = Value of a11
  • b = Value of a12
  • c = Value of a21
  • d = Value of a22

Defination / Uses

Because evaluating determinants is a bit of a pain, let's start with the 2x2 example. To multiply the top-left-to-bottom-right diagonal and remove the product of the bottom-left-to-top-right diagonal to get the determinant of a 2x2 matrix.

Input

Output

Determinant
0

Formula

det3
  • A = Determinent
  • a = Value of a11
  • b = Value of a12
  • c = Value of a13
  • d = Value of a21
  • e = Value of a22
  • f = Value of a23
  • g = Value of a31
  • h = Value of a32
  • i = Value of a33

Defination / Uses

Breaking down a 3x3 matrix into secondary matrices of lesser dimensions in a procedure known as "expansion of the first row" is a common approach for obtaining the determinant.

Input

Output

Determinant
0

Formula

det3
  • det = Determinent
  • a = Value of a11
  • b = Value of a12
  • c = Value of a13
  • d = Value of a14
  • e = Value of a21
  • f = Value of a22
  • g = Value of a23
  • h = Value of a24
  • i = Value of a31
  • j = Value of a32
  • k = Value of a33
  • l = Value of a34
  • m = Value of a41
  • n = Value of a42
  • o = Value of a43
  • p = Value of a44

Defination / Uses

The determinant of a 4x4 matrix is a one-of-a-kind integer calculated using a specific formula. It is a square matrix if the matrix order is n x n. As a result, the number 4 is a square matrix with four rows and four columns.

Input

Output

Determinant
0

Formula

  • A = Determinent
  • A11 = Value of a11
  • A12 = Value of a12
  • A13 = Value of a13
  • A14 = Value of a14
  • A15 = Value of a15
  • A21 = Value of a21
  • A22 = Value of a22
  • A23 = Value of a23
  • A24 = Value of a24
  • A25 = Value of a25
  • A31 = Value of a31
  • A32 = Value of a32
  • A33 = Value of a33
  • A34 = Value of a34
  • A35 = Value of a35
  • A41 = Value of a41
  • A42 = Value of a42
  • A43 = Value of a43
  • A44 = Value of a44
  • A45 = Value of a45
  • A51 = Value of a51
  • A52 = Value of a52
  • A53 = Value of a53
  • A54 = Value of a54
  • A55 = Value of a55

Defination / Uses

It is possible to multiply 5x5 and 5x5 matrices, and the final matrix is a 5x5 matrix. This calculator can multiply two matrices in real time and provide a step-by-step answer.

Welcome to the matrix determinant calculator, where you may compute matrix determinants for any square matrix up to 4x4 in size using the simple determinant formula. We'll also look at some of the basic properties of determinants, such as the determinant of a 4x4 matrix, which can help us tackle larger problems. "What is a determinant, and why should I be concerned?" says the narrator. We'll go into the determinant definition later, but for now, let's just state that it's highly useful when dealing with systems of equations, among other things. Essentially, finding the determinant of a 3x3 matrix is the same as solving a system of three equations.