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Evaluate the following determinant: abacbc|0a-b-a0-cbc0| - Mathematics and Statistics

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प्रश्न

Evaluate the following determinant:

`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`

योग

उत्तर

`|(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

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Determinants
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Determinants - EXERCISE 6.1 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Determinants
EXERCISE 6.1 | Q 1) viii) | पृष्ठ ८३
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