How Do We Calculate the Determinant of a Complex Matrix?

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The determinant of a complex matrix is calculated using the same principles as for a real matrix. The methods for finding the determinant, such as Laplace expansion or properties of determinants, apply equally to both types of matrices. While some may believe that the evaluation differs, the underlying calculations involve complex number operations. Understanding this equivalence is crucial for accurate computation. The determinant can be effectively calculated using standard techniques, regardless of whether the matrix entries are real or complex.
Ali Asadullah
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How can we find the determinant of a complex matrix?
 
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Do you know how to find the determinant of a real matrix? The determinant equation is the same whether the matrix is real or complex.
 
phyzguy said:
Do you know how to find the determinant of a real matrix? The determinant equation is the same whether the matrix is real or complex.

Yes sir i know how to find the determinant of a real matrix. we can find either by Laplace expansion or by properties of determinant. Sir my teacher told me that the determinant of a complex matrix is not evaluated in the same way as the determinant of a real one. Can you please explain with detail.
 
The definition and calculation of a determinent with complex numbers is exactly the same as with real numbers- using complex number multiplication and addition, of course.
 

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