Special Complex Matrices: Hermitian, Unitary, Normal

What is the complex conjugate of 7 - 5i?

When simplifying the fraction 2 - 7i divided by 5 + 3i, what is the correct result?

What is the result of z * z when z = 3 + 4i?

For a complex number z = a + bi, what is z*?

What is the value of i^252?

What is the remainder when dividing the exponent n by 4?

A complex matrix A is said to be Hermitian if AH is equal to A, and it is said to be skew-Hermitian if AH is equal to what?

Based on the provided complex matrices, which matrix is considered Hermitian?

For a complex matrix to be Hermitian, which condition must be satisfied among the matrix elements?

Which matrix from the examples is considered unitary?

What does it mean for a complex matrix to be unitary?

For a real matrix, which of the following pairs of properties are equivalent?

In a unitary complex matrix, what relationship should hold between AH and A^-1?

Which type of complex matrices commute with their conjugate transpose?

Which property indicates that a matrix is orthogonal?

What property makes a matrix normal?

For a complex matrix A to be unitary, what characteristic must its rows (or columns) have?

Which property distinguishes a Hermitian matrix from a normal matrix?