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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

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`

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Solution

Here, the two rows R₁ and R₃ are identical.

Δ = 0.

Concept: Properties of Determinants

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Chapter 4: Determinants [Page 119]

Q 2 Q 1 Q 3

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NCERT Class 12 Maths

Chapter 4 Determinants
Q 2 | Page 119

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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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