Special Transpose Matrices
A square matrix whose transpose is equal to itself is called a symmetric matrix; that is, A is symmetric if
A square matrix whose transpose is equal to its negative is called skew-symmetric matrix; that is, A is skew-symmetric if
The conjugate transpose of the complex matrix A, written as A∗, is obtained by taking the transpose of A and the complex conjugate of each entry:
A square matrix whose transpose is also its inverse is called an orthogonal matrix; that is, G is orthogonal if
- the identity matrix, i.e. GT = G−1.
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