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Given a matrix m, find the matrix cos((pi)m/6)
Given a matrix M, find the matrix cos((pi)M/6). I solved this question using diagonalizing method. But the answer is changing if I change the positions of the eigenvalues. That is if write the eigenvalues as pi/6 and pi/2. I am getting the answer which is mentioned but if I switch the position and write pi/2 and pi/6, I am getting an answer with the negative signs switched. Can someone help?
3 Answer(s)
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Deepanshu Chaudhary
please see.. I have done using the same method but switched the positions of eigenvalues and I'm getting different answer
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I have also changed the P matrix and D matrix accordingly
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dear, determinant is -1 u took 1
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determinant of P is -1( solution: (1*-1)/√2-(1*1)/√2=-1)
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oh okay.. I got it mam.. I forgot to divide it by the determinant
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sorry for the whole confusion
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Ruby negi
hope u will getting me..
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Ruby negi
no dear, this will not happen. please note that when u change the position of eigen value then P matrix will also change.. so keep this thing then ur ans will not change.. do it once again..
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for doubt u can ask.
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mam please check my comment.. if there is any mistake please correct me
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Ruby negi
see
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Deepanshu Chaudhary
Sorry for the whole confusion.. It was my calculation mistake
it's OK dear