UPSC NDA Math Model Paper 8

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2	7	37
3	6	33
4	5	29

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Apply C2→5C2+C1, we get
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2	37	37
3	33	33
4	29	29

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As we can see that the second and the third column of the given matrix are equal.
We know that, if any two rows (columns) of a matrix are same then the value of the determinant is zero.
∴|

2	7	37
3	6	33
4	5	29

|=0