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http://ee.gateoverflow.in/212/gate201612
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Consider a $3\times 3$ matrix with every element being equal to 1 , its only nonzero eigenvalue is ....?
\begin{bmatrix} 1 & 1 &1 \\ 1 &1 &1 \\ 1 &1 &1 \end{bmatrix}$
now i solve in simple way ..directly $\left  A\lambda I \right $ THEN I got correct ans 0,0,5 but
i have doubt .. if i solve by some elementary operation and reduce to $\begin{bmatrix} 1 & 1 &1 \\ 0& 0 &0 \\ 0 & 0 &0 \end{bmatrix}$
but i got different eigen values why this happened ... i missed something ??
eigenvalue
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sid1221
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@sid 1221 ,
the eigen values of above given matrix are : 0,0,3
and you will solve from any method(by using simple method or by using the elementary operations) you always find that the eigen values are : 0,0,3
ok any reference ?
engg. mathematics 1 by HK DASS
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