Question 1 - Properties of Determinant - Chapter 4 Class 12 Determinants

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Question 1 Using the property of determinants and without expanding, prove that: |█(𝑥 𝑎 𝑥+𝑎@𝑦 𝑏 𝑦+𝑏@𝑧 𝑐 𝑧+𝑐)| = 0 ∆ = |█(𝑥 𝑎 𝑥+𝑎@𝑦 𝑏 𝑦+𝑏@𝑧 𝑐 𝑧+𝑐)| C1 → C1 + C2 ∆ = |█(𝒙+ 𝒂 𝑎 𝒙+𝒂@𝒚+𝒃 𝑏 𝒚+𝒃@𝒛 +𝒄 𝑐 𝒛+𝒄)| C1 and C3 is same ∆ =𝟎 By Property: if any two row or columns of a determinant are identical then value of determinant is zero

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.