Ex 3.2, 6 - Chapter 3 Class 12 Matrices
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 3.2, 6 Simplify cos θ[■8(cos θ&sin θ@−sin θ&cos θ)] + sin θ [■8(sin θ&−cos θ@cos θ&sin θ)] cos θ[■8(cos θ&sin θ@−sin θ&cos θ)] + sin θ [■8(sin θ&−cos θ@cos θ&sin θ)] = [■8("cos " θ("cos " θ)&cos θ(sin θ)@cos θ (−𝑠𝑖𝑛θ)&cos θ(cos θ))] + [■8(sin θ(sin θ)&sin θ(−"cos " θ) @sin θ("cos " θ)&sin θ(sin θ))] = [■8(𝐜𝐨𝐬𝟐 𝜽&𝐜𝐨𝐬 𝛉 𝐬𝐢𝐧 𝜽@−𝐜𝐨𝐬 𝛉 𝐬𝐢𝐧 𝜽&𝐜𝐨𝐬𝟐 𝜽)] + [■8(𝐬𝐢𝐧𝟐 𝜽&−𝐜𝐨𝐬 𝛉 𝐬𝐢𝐧 𝜽@𝐬𝐢𝐧 𝛉 𝐜𝐨𝐬 𝜽&𝐬𝐢𝐧𝟐 𝜽)] = [■8(cos2 θ+sin2 θ&sin θ cos θ−cos θ sin θ@−cos θ sin θ+sin θ cos θ&cos2 θ+sin2 θ)] = [■8(cos2 θ+sin2 θ&0@0&cos2 θ+sin2 θ)] = [■8(𝟏&𝟎@𝟎&𝟏)]
Ex 3.2
Ex 3.2, 2 (i)
Ex 3.2, 2 (ii) Important
Ex 3.2, 2 (iii)
Ex 3.2, 2 (iv)
Ex 3.2, 3 (i)
Ex 3.2, 3 (ii) Important
Ex 3.2, 3 (iii)
Ex 3.2, 3 (iv) Important
Ex 3.2, 3 (v)
Ex 3.2, 3 (vi) Important
Ex 3.2, 4
Ex 3.2, 5
Ex 3.2, 6 You are here
Ex 3.2, 7 (i)
Ex 3.2, 7 (ii) Important
Ex 3.2, 8
Ex 3.2, 9
Ex 3.2, 10
Ex 3.2, 11
Ex 3.2, 12 Important
Ex 3.2, 13 Important
Ex 3.2, 14
Ex 3.2, 15
Ex 3.2, 16 Important
Ex 3.2, 17 Important
Ex 3.2, 18
Ex 3.2, 19 Important
Ex 3.2, 20 Important
Ex 3.2, 21 (MCQ) Important
Ex 3.2, 22 (MCQ) Important
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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 and Computer Science at Teachoo