In question 77 , how do you make the eigen value positive by using Archimedean property ...if kindly explain clearly then it will be very much helpful for me
We can solve q2 in another way. the matrix A has Ann_A(x)= x^n -1 and ch_A(x)= x^2-x+1 which has two distinct eigen values hence ch_A(x)=m_A(x) and m_A(x) | x^n -1 For only n=6 , x^2-x+1| x^6-1.
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part c last question wonderfully explained! keep it up dude!
In question 77 , how do you make the eigen value positive by using Archimedean property ...if kindly explain clearly then it will be very much helpful for me
Last questions approach 🙏🙏🙏
We can solve q2 in another way.
the matrix A has Ann_A(x)= x^n -1 and ch_A(x)= x^2-x+1 which has two distinct eigen values hence ch_A(x)=m_A(x) and m_A(x) | x^n -1
For only n=6 , x^2-x+1| x^6-1.
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Sir I think real symmetric matrix is digonolizable ,I don't say anything about symmetric matrix,
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In question no.8=Only 1 option is correct because minimal polynomial is of degree 3 not 4 so A is only nilpotent matrix.