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The complex conjugate of x + yi, where x and y are real numbers, is x - yi.

(x + yi)*(x - yi) = x2 - xyi + xyi - y2i2 and since i2 = -1, the expression equals x2 + y2 which is real.

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What is conjugate function?

If you have a complex function in the form "a+ib", the (complex) conjugate is "a-ib". "Conjugate" is usually a function that the original function must be multiplied by to achieve a real number.


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For a complex number (a + bi), its conjugate is (a - bi). If the number is graphically plotted on the Complex Plane as [a,b], where the Real number is the horizontal component and Imaginary is vertical component, the Complex Conjugate is the point which is reflected across the real (horizontal) axis.


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Related Questions

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