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Using Properties of Determinants, Prove That: `|(3a, -a+B, -a+C),(-b+A, 3b, -b+C),(-c+A, -c+B, 3c)|`= 3(A + B + C) (Ab + Bc + Ca) - Mathematics

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Question

Using properties of determinants, prove that:

`|(3a, -a+b, -a+c),(-b+a, 3b, -b+c),(-c+a, -c+b, 3c)|`= 3(a + b + c) (ab + bc + ca)

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Solution

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Chapter 4: Determinants - Exercise 4.7 [Page 142]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 13 | Page 142

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