Ex 3.2, 6 - Simplify cos [ cos sin -sin cos] - Class 12 Matrices - Addition/ subtraction  of matrices

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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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)]

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