IsSymmetric

Tests if a matrix is symmetric.

Syntax

• IsSymmetric(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, then IsSymmetric(A) returns true iff A is symmetric, that is, iff A is square and A[i, j] = A[j, i] for all valid indices i and j. Floating-point comparisons are made with epsilon ε.

Examples

A ≔ ❨❨5, 1, 2, 3❩, ❨1, 6, 3, 7❩, ❨2, 3, 5, i❩, ❨3, 7, i, 4❩❩

⎛5  1  2  3⎞
⎜1  6  3  7⎟
⎜2  3  5  i⎟
⎝3  7  i  4⎠

IsSymmetric(A)

true

See also

• IsSkewSymmetric

• IsHermitian