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By Using Properties of Determinants, Show That: |(1+Asqrt2-bsqrt2, 2ab, -2b),(2ab, 1-asqrt2+Sqrt^2, 2a),(2b, -2a, 1-asqrt2-bsqrt2)| = (1+Asqrt2+Bsqrt2) - Mathematics

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Question

By using properties of determinants, show that:

`|(1+a^2-b^2, 2ab, -2b),(2ab, 1-a^+b^2, 2a),(2b, -2a, 1-a^2-b^2)| = (1+a^2+b^2)`

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Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 121]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 13 | Page 121

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