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Ex 4.2, 1 - Chapter 4 Class 12 Determinants (Term 1)
Last updated at Dec. 23, 2021 by Teachoo
Ex 4.2
Ex 4.2, 1
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Ex 4.2, 2 Important
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Ex 4.2, 8 (i) Important
Ex 4.2, 8 (ii)
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Ex 4.2, 11 (i)
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Ex 4.2, 15 (MCQ) Important
Ex 4.2, 16 (MCQ)
Chapter 4 Class 12 Determinants
Serial order wise
Transcript
Ex 4.2, 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
