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Using the Property of Determinants and Without Expanding, Prove that |(A-b,B-c,C-a),(B-c,C-a,A-b),(A-a,A-b,B-c)| = 0 - Mathematics

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प्रश्न

Using the property of determinants and without expanding, prove that:

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

बेरीज

उत्तर

Here, the two rows R1 and R3 are identical.

∴ Δ = 0.

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पाठ 4: Determinants - Exercise 4.2 [पृष्ठ ११९]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 4 Determinants
Exercise 4.2 | Q 2 | पृष्ठ ११९

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