Sum
Evaluate the following determinants: `|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
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Solution
`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
= `0|(0, -"c"),("c", 0)| -"a"|(-"a", - "c"),("b", 0)| -"b"|(-"a", 0),("b", "c")|`
= 0 – a (0 + bc) – b(– ac – 0)
= – a(bc) – b (– ac)
= – abc + abc
= 0
Concept: Determinants
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