Example 12 - Without expanding, prove that determinant = 0 - Examples

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Example 12 Without expanding, prove that ∆ = 𝑥+𝑦﷮𝑦 + z﷮𝑧+𝑥﷮𝑧﷮𝑥﷮𝑦﷮1﷮1﷮1﷯﷯ = 0 𝑥+𝑦﷮𝑦 + z﷮𝑧+𝑥﷮𝑧﷮𝑥﷮𝑦﷮1﷮1﷮1﷯﷯ Applying R1 → R1 + R2 = ∆ = 𝑥+𝑦+𝑧﷮𝑥+𝑦+𝑧﷮𝑥+𝑦+𝑧﷮z﷮𝑥﷮𝑦﷮1﷮1﷮1﷯﷯ = (x + y + z) 1﷮1﷮1﷮𝑧﷮𝑥﷮𝑦﷮1﷮1﷮1﷯﷯ C1 and C3 is same = 0

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