Maharashtra State BoardHSC Commerce 11th
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Evaluate the following determinants: |0a-b-a0-cbc0| - Mathematics and Statistics

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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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 6 Determinants
Exercise 6.1 | Q 1. (viii) | Page 83
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