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Solution for 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 - CBSE (Commerce) Class 12 - Mathematics

Question

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

Solution

Here, the two rows R1 and R3 are identical.

Δ = 0.

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Solution 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 Concept: Properties of Determinants.
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