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प्रश्न
Evaluate the following determinant:
`|("a", "h", "g"),("h", "b", "f"),("g", "f","c")|`
उत्तर
`|("a", "h", "g"),("h", "b", "f"),("g", "f","c")|`
= `"a"|("b", "f"),("f","c")| - "h"|("h","f"),("g","c")| + "g"|("h","b"),("g", "f")|`
= a(bc – f2) – h(hc – gf) + g(hf – gb)
= abc – af2 – h2c + fgh + fgh – g2b
= abc + 2fgh – af2 – bg2 – ch2
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