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provide solution for RD Sharma maths class 12 chapter 5 Determinants exercise  Fill in the blanks question 18

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Answer: 0

Hint: Here, we use basic concept of determinant of matrix

Given:     \Delta=\left[\begin{array}{ccc} 0 & x-y & y-z \\ y-x & 0 & z-x \\ z-y & x-z & 0 \end{array}\right]

Solution: Here \Delta is skew symmetric matrix.

            Here, clearly we can see that \Delta is skew symmetric and its diagonal are 0

            So, \Delta=0


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