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det

Matrix determinant

det(A)

  • A is a square matrix, which can be real or complex.
  • It returns the determinant of A.

Example 1: The following demonstrates the well-known property of determinants: det(A) * det(B) == det(A * B). Here, A and B are randomly generated matrices.

A=randi(10,4,4)
B=randi(10,4,4)
det(A*B)
det(A)*det(B)
A =
Columns 1 through 3:
 7.00000000000000   7.00000000000000   9.00000000000000
 5.00000000000000   8.00000000000000   10.0000000000000
 3.00000000000000   3.00000000000000   7.00000000000000
 4.00000000000000   10.0000000000000   5.00000000000000
Column 4:
 10.0000000000000
 8.00000000000000
 7.00000000000000
 10.0000000000000

B =
Columns 1 through 3:
 8.00000000000000   6.00000000000000   3.00000000000000
 10.0000000000000   1.00000000000000   7.00000000000000
 10.0000000000000   10.0000000000000   6.00000000000000
 9.00000000000000   3.00000000000000   9.00000000000000
Column 4:
 1.00000000000000
 2.00000000000000
 9.00000000000000
 10.0000000000000

ans =
18134.9999999996

ans =
18134.9999999997