IsUnitary

Tests if a matrix is unitary.

Syntax

• IsUnitary(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, then IsUnitary(A, ε) returns true iff A is unitary, that is, iff A^−1 = A*. Floating-point numbers are compared with epsilon ε.

Examples

A ≔ ❨❨1/√2, 1/√2, 0❩, ❨0, 0, i❩, ❨1/√2, −1/√2, 0❩❩

⎛ 0.707106781187   0.707106781187                0⎞
⎜              0                0                i⎟
⎝ 0.707106781187  −0.707106781187                0⎠

IsUnitary(A)

true

See also

• IsOrthogonal