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Evaluate |(1,x,y),(1,x+y,y),(1,x,x+y)| - Mathematics

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Question

Evaluate `|(1,x,y),(1,x+y,y),(1,x,x+y)|`

Evaluate
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Solution

Let, Δ = `|(1,x,y),(1,x+y,y),(1,x,x+y)|` 

Applying R2 → R2 − R1 and R3 → R3 − R1, we get

= `|(1,x,y), (0,y,0), (0, 0,x)|`

= 1 × y × x

= xy

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Chapter 4: Determinants - Exercise 4.7 [Page 142]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 10 | Page 142

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