Eigenvalues and Eigenvectors

The characteristic polynomial, diagonalization, complex eigenvalues, powers, and Markov chains.0/6 mastered

1 / 6

Let

T(\mathbf{x})=A\mathbf{x}

with

A=\begin{pmatrix}5&2\\4&3\end{pmatrix}

, and let

\mathcal{B}=\{(1,-2),(1,1)\}

, a basis of eigenvectors with eigenvalues

1

and

7

. Find the

(2,2)

entry of

[T]_{\mathcal{B}}

Your answer

#4945