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karush

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one book example

$\textsf{Suppose that A is a matrix whose characteristic polynomial is}$

$(\lambda-2)^2(\lambda + 1)^2,

\quad \dim\left(E_2\right)=1

\quad \dim\left(E_{-1}\right)=2$

$\textsf{Find the Jordan Normal Form of A Find the Jordan Normal Form of A}$

$$\quad \dim\left(E_2\right)=1 \quad \dim\left(E_{-1}\right)=2$$

$\textsf{First how do we get A got this from W|A}$

$$\begin{bmatrix}2&0&0&0\\0&2&0&0\\0&0&-1&0\\0&0&0&-1\end{bmatrix}

=(\lambda-2)^2(\lambda + 1)^2$$

$\textsf{but don't think this the right direction... not sure how we use}$

$$ \dim\left(E_2\right)=1 \quad \dim\left(E_{-1}\right)=2$$

I had this posted on another forum but there were no replys

one book example

$\textsf{Suppose that A is a matrix whose characteristic polynomial is}$

$(\lambda-2)^2(\lambda + 1)^2,

\quad \dim\left(E_2\right)=1

\quad \dim\left(E_{-1}\right)=2$

$\textsf{Find the Jordan Normal Form of A Find the Jordan Normal Form of A}$

$$\quad \dim\left(E_2\right)=1 \quad \dim\left(E_{-1}\right)=2$$

$\textsf{First how do we get A got this from W|A}$

$$\begin{bmatrix}2&0&0&0\\0&2&0&0\\0&0&-1&0\\0&0&0&-1\end{bmatrix}

=(\lambda-2)^2(\lambda + 1)^2$$

$\textsf{but don't think this the right direction... not sure how we use}$

$$ \dim\left(E_2\right)=1 \quad \dim\left(E_{-1}\right)=2$$

I had this posted on another forum but there were no replys

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