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  • Hermitian matrix - Wikipedia
    In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose —that is, the element in the i -th row and j -th column is equal to the complex conjugate of the element in the j -th row and i -th column, for all indices i and j:
  • What is a Hermitian Matrix? - BYJUS
    What is a Hermitian Matrix? A Hermitian matrix is a matrix that is equal to its conjugate transpose Mathematically, a Hermitian matrix is defined as (1≤ i, j ≤ n), then A is called a Hermitian Matrix For example, let \ (\begin {array} {l}A=\begin {bmatrix}3 1-i\\1+i -2 \\\end {bmatrix}\end {array} \) Then conjugate of A =
  • Hermitian Matrix - Definition, Formula, Properties, Examples
    A hermitian matrix is a square matrix that is equal to the transpose of its conjugate matrix The diagonal elements of a hermitian matrix are all real numbers, and the element of the (i, j) position is equal to the conjugate of the element in the (j, i) position
  • What is the meaning of Hermitian? - Mathematics Stack Exchange
    Hermitian: denoting or relating to a matrix in which those pairs of elements that are symmetrically placed with respect to the principal diagonal are complex conjugates
  • Hermitian Matrix - from Wolfram MathWorld
    A square matrix is called Hermitian if it is self-adjoint Therefore, a Hermitian matrix A= (a_ (ij)) is defined as one for which A=A^ (H), (1) where A^ (H) denotes the conjugate transpose This is equivalent to the condition a_ (ij)=a^__ (ji), (2) where z^_ denotes the complex conjugate
  • Hermitian Matrix: Definition, Formula, Properties Solved Examples
    Mathematically, a Hermitian matrix is defined as, A complex square matrix A = [aij]nxn such that A∗ = A, where A∗ is the conjugate transpose of a matrix A In other words, if ∀ aij ∈ A aij = a∗ji where a∗ji is the complex conjugate of aji, then A is a hermitian matrix
  • Hermitian or self-adjoint matrix - Algebra practice problems
    On this post you will find what a Hermitian matrix is, also known as self-adjoint matrix You will find examples of Hermitian matrices, all their properties and its formula Finally, we also explain how to decompose any complex matrix into the sum of a Hermitian matrix plus an skew-Hermitian matrix What is a Hermitian (or self-adjoint) matrix?
  • What is Hermitian Matrix? - Math Expressions Answer Key
    What is Hermitian Matrix? A hermitian matrix is a square matrix that is equal to a conjugate transpose matrix The non-diagonal entries of the hermitian matrix are complex numbers
  • Hermitian Matrices - Oregon State University
    There are two uses of the word Hermitian, one is to describe a type of operation–the Hermitian adjoint (a verb), the other is to describe a type of operator–a Hermitian matrix or Hermitian adjoint (a noun)
  • Hermitian matrix - PlanetMath. org
    Definition A complex square matrix A A is Hermitian, if A= A∗ A = A * 1 The eigenvalues of a Hermitian matrix are real 2 The diagonal elements of a Hermitian matrix are real 3 The complex conjugate of a Hermitian matrix is a Hermitian matrix 4 B ∗ is a Hermitian matrix 5 A matrix is symmetric if and only if it is real and Hermitian 6





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