Verify that the three eigenvectors found for the two eigenvalues of the matrix in that example...

Verify that the three eigenvectors found for the two eigenvalues of the matrix in that example are linearly independent and find the components of the vector i = ( 1 , 0 , 0 ) in the basis consisting of them. Using

\begin{vmatrix}1 & 0 & 0 \\ -4 & 7 & 2 \\ 10 & -15 & -4\end{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)

Expert Solution

Colby Messinger answered 1 year ago

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