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By Using Properties of Determinants, Show That: |(0,A, -b),(-a,0, -c),(B, C,0)| = 0 - Mathematics

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Question

By using properties of determinants, show that:

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

Solution

We have,

Here, the two rows R1 and Rare identical.

∴Δ = 0.

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Chapter 4: Determinants - Exercise 4.2 [Page 120]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 6 | Page 120

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