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

1.  

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 

Transcribed Image Text:

10 1 O k 1 k 1 2, А 10 1 O k 1 k 1 2, А