issymmetric

Computes if matrix is symmetric.

Syntax

• res = issymmetric(x)
• res = issymmetric(x, 'skew')
• res = issymmetric(x, 'nonskew')
• res = issymmetric(x, tol)

Input argument

• x - a numeric value: scalar or matrix (double or single, integers, logical).
• tol - a numeric value: finite and >= 0.

Output argument

• res - a logical.

Description

issymmetric(x) computes if matrix is symmetric.

With 'nonskew' argument, x square matrix, x is symmetric if it is equal to its nonconjugate transpose, x = x.'

With 'skew' argument, x square matrix, x is symmetric if it is equal to its nonconjugate transpose, x = -x.'

Example

issymmetric([1, 2; 2, 1])
issymmetric([1, 2.1; 2, 1.1], 0.2)
A = [0 1 -2 5; -1 0 3 -4; 2 -3 0 6; -5 4 -6 0];
issymmetric(A, 'skew')
issymmetric(A, 'nonskew')

See also

ishermitian.

History

Author

Allan CORNET