Evaluate 
Let Δ = 
Applying Row transformations
R2→ R2 – R1; R3→ R3 – R1
Δ = 
Δ = 
Now, Expanding along C1
Δ = 1 (y × x – 0 × 0) – 0 (x × x – 0 × y) + 0 (x × 0 – y × y)
Δ = 1 (xy) – 0 + 0
Δ = xy
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