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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Without expanding, evaluate the following determinants: |2345686x9x12x| - Mathematics

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Question

Without expanding, evaluate the following determinants:

`|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`

Sum
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Solution

`|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)| = x|(2, 3, 4),(5, 6, 8),(6, 9, 12)|`

= `(x)(3)|(2, 3, 4),(5, 6, 8),(2, 3, 4)|`

= 3x (0)

= 0

∴ R1 = R2 

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Chapter 7: Matrices and Determinants - Exercise 7.2 [Page 30]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 7 Matrices and Determinants
Exercise 7.2 | Q 15. (i) | Page 30
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