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Why eigenvector cant be zero...pls once tell.also i have attached one example ... why there k≠0 ..what will happen if k=0..
why eigenvector cant be zero...pls once tell..i have attached one example also why k≠0
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Deepak singh 1
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Refer attached definition of Eigen vector , Eigen vector should be non zero , that's why k not equal to 0
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Alka gupta Best Answer
eigen vector definition is " if A is any nxn matrix and Lemda is a scalar then a non zero vector x is said to be Eigen vector and Lemda is called Eigen valus of matrix A such that Ax = Lemda x note - Eigen vector is always a LI vector and we know that zero vector is LD vector hence Eigen vector never a zero vector always we have to find a non zero vector
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if in your example you put k= 0 then we get [0,0] vector which is LD but eigen vector is always LI so here we have to mention k not equal to zero
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Piyush pachauri![best-answer]()
By the definition of Eigen vector it is non zero.