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It looks like that's part of the definition of a unitary matrix. See related link, below.

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Q: Why only complex numbers are used in unitary matrix?
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What is the definition of unitary matrix?

It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means thatU*U = UU* = I. Where I is the identity matrix.


What percent of people know about complex numbers?

4-5% only know about complex numbers...


How to factorise a2 plus b2?

a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.


What is the difference between imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary numbers.


What is the difference between a set of real numbers and a set of complex numbers?

The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.


Is Every complex number is a pure imaginary number?

No. All Complex Numbers are of the form a + bi where a and b are Real Numbers and i is the square root of -1. So only ones where a = 0 are pure Imaginary Numbers.


How many numbers have an absolute value of 5 over 4?

Only two real numbers but infinitely many complex numbers.


In which type of government does a local government exist only to assist the central government?

Unitary Government


What is unitary form of music?

It has 1 section only.


What is unitary music form?

It has 1 section only.


What is the differrent of imaginary numbers to complex numbers?

Imaginary number is a number that consist of only Imaginary part. Such as i, 40i, 1/2i, etc. While the difference between the imaginary numbers and the complex numbers are that complex number also contains Real numbers, and can be written as a + bi. For example, 30+i, 1/2+1/2i, etc.


Do people get to vote in a unitary system?

Yes, citizens do vote in a Unitary Government. They vote for Parliament. A Unitary System has a strong central government; the states only have the power that the central government gives them.