Construct 2 x 2 matrix whose elements are aij = cos [(i – j) π/2 - θ  ]

Dear student

We have,aij=cosi-jπ2-θPut i=1,j=1a11=cos-θ=cosθPut i=1,j=2a12=cos-π2-θ=cos-π2+θ=cosπ2+θ=-sinθPut i=2,j=1a21=cosπ2-θ=sinθPut i=2,j=2a22=cos-θ=cos θSo, Required matrix =  cosθ-sinθsinθcosθ
Regards

  • 1
just substitute the values of i and j
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Please find this answer

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