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2. $A$ is skew hermitian, prove $(I-A)^{-1} (I+A)$ is unitary

   math.stackexchange.com/questions/325784

   If the matrix exponential is unitary, is the exponent necessarily skew-Hermitian? 0 Can the product of a complex symmetric unitary matrix and a skew-hermitian matrix be complex skew-symmetric?

3. Prove the following result for Hermitian and Skew-Hermitian...

   math.stackexchange.com/questions/1711531/prove-the-following-result-for...

   Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

4. linear algebra - $A$ is skew hermitian, prove $e^A$ is unitary...

   math.stackexchange.com/questions/68971/a-is-skew-hermitian-prove-ea-is-unitary

   Since A A is skew-Hermitian, A A is diagonalizable and all eigenvalues of A A are pure imaginary. eA =U−1eJU, eAH =U−1eJHU e A = U − 1 e J U, e A H = U − 1 e J H U. where J J is diagonal and eJ e J can be computed element by element. Then, eAeAH =U−1eJUU−1e−JU =U−1eJeJH = U−1⎛⎝⎜⎜eiae−ia eibe−ib ⋱⎞⎠⎟⎟ U =U ...

5. complex numbers - Determinant of skew-hermitian matrix -...

   math.stackexchange.com/questions/1273073/determinant-of-skew-hermitian-matrix

   Determinant of skew-hermitian matrix. Ask Question Asked 9 years, 4 months ago. Modified 9 years, 4 months ...

6. linear algebra - Prove that the eigenvalues of skew-Hermitian...

   math.stackexchange.com/questions/680065

   Eigenvector of skew-hermitian matrix. 5. Prove the following result for Hermitian and Skew-Hermitian ...

7. linear algebra - Proving that a matrix is skew Hermitian -...

   math.stackexchange.com/questions/1496710/proving-that-a-matrix-is-skew-hermitian

   Can the product of a complex symmetric unitary matrix and a skew-hermitian matrix be complex skew-symmetric? Hot Network Questions Unbounded expansion in Tex

8. What's the proof stategy for: Hermitian matrix has orthogonal ...

   math.stackexchange.com/questions/762984/whats-the-proof-stategy-for-hermitian...

   Proof that a Hermitian Matrix has orthogonal eigenvectors, real eigenvalues 2 A Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues - Proof Strategy [Lay P397 Thm 7.1.3c]

9. If $S$ is skew-hermitian, show that $iS$ is hermitian.

   math.stackexchange.com/questions/1705044/if-s-is-skew-hermitian-show-that-is...

   Kristaps John Balodis. 1,441 11 17. No, a skew-Hermitian S S is in general not Hermitian. But iS i S in fact is. Start with (iS)∗ = … (i S) ∗ = …. – Friedrich Philipp. Commented Mar 20, 2016 at 0:02. Sorry meant that I can show it implies S2 S 2 is hermitian. – Kristaps John Balodis.

10. Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix

    math.stackexchange.com/questions/2110877/showing-a-i-is-invertible-when-a-is-a...

    Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

11. linear algebra - How to check the matrix is Hermitian? -...

    math.stackexchange.com/questions/4029935/how-to-check-the-matrix-is-hermitian

    that is Hermitian: its conjugate transpose (which in this case is the transpose, because the matrix is real) is itself. As for ⎛⎝⎜ 2 0 −2 0 0 0 −2 0 2 ⎞⎠⎟ (2 0 − 2 0 0 0 − 2 0 2), that is the "classical adjoint" or adjugate. It has nothing to do with the Hermitian adjoint or conjugate transpose. The terminology is ...