is the sum of two diagonalizable matrices diagonalizable
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.
1 + 2 + 3 + 4 + ⋯ which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Limit of a function (the Dirichlet function) has no limit at any x-coordinate.
Standard deviation Let X be a random variable with mean value Î¼:
Orthogonal matrix This leads to the equivalent characterization: a matrix Q is orthogonal if its transpose is equal to its inverse: