det {{a+b*i, c+d*i}, {-c+d*i, a-b*i}} - Wolfram|Alpha

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Assuming i is the imaginary unit | Use i as a variable instead

Input interpretation:

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Result:

link to /input/?i=a%5E2%2Bb%5E2%2Bc%5E2%2Bd%5E2&lk=1&a=ClashPrefs_*Math-
EnlargeEnable InteractivityDownload as CDF

Polynomial discriminant:

link to /input/?i=-4+%28b%5E2%2Bc%5E2%2Bd%5E2%29&lk=1&a=ClashPrefs_*Math-
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Derivative:

link to /input/?i=2+a&lk=1&a=ClashPrefs_*Math-
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Global minimum:

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Download full output as:

CDF  PDF
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