Verify that the three eigenvectors found for the two eigenvaluesof the matrix in that example are linearly independent and find thecomponents of the vector i = ( 1 , 0 , 0 ) in thebasis consisting of them. Using
egin{vmatrix}1 & 0 & 0 \ -4 & 7 & 2 \ 10& -15 & -4end{vmatrix}
Which of these is the answer?
(2,?5,2)(2,?5,2)
(?1,3,23)(?1,3,23)
(1,?3,32)(1,?3,32)
