when does the transpose of a matrix equal the inverse
Orthogonal matrix This leads to the equivalent characterization: a matrix Q is orthogonal if its transpose is equal to its inverse:
Diagonalizable matrix Note that the above examples show that the sum of diagonalizable matrices need not be diagonalizable.
Hermitian matrix The diagonal elements must be real, as they must be their own complex conjugate.
Standard deviation Let X be a random variable with mean value Î¼:
Limit of a function (the Dirichlet function) has no limit at any x-coordinate.
Exponentiation Any nonzero number raised to the 0 power is 1:[11]