Question: Determine for which k0 matrix A admits an eigenvalue equal to 1 and compute the corresponding eigenvector. For the value of k that has been

Determine for which k≠0 matrix A admits an eigenvalue equal to 1 and compute the corresponding eigenvector.

  1. 10 1 O k 1 k 1 2, 

  2. For the value of k that has been determined in (a) study the sign of the quadratic form associated to the matrix A-2I in R3 and in the vector subspace generated by the following vectors 


10 1 O k 1 k 1 2,

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