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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Hello MHB,

I would like to have a tips for this problem.

Find a matrice \(\displaystyle A\) of the order \(\displaystyle 4 x 4\) satisfying that

rank \(\displaystyle A=3\), rank \(\displaystyle A^2=2\), rank \(\displaystyle A^3=1\) and

rank \(\displaystyle A^4=0\)

I have no idé how I should think and to try guess the matrice don't fel correct..

\(\displaystyle |\pi\rangle\)

I would like to have a tips for this problem.

Find a matrice \(\displaystyle A\) of the order \(\displaystyle 4 x 4\) satisfying that

rank \(\displaystyle A=3\), rank \(\displaystyle A^2=2\), rank \(\displaystyle A^3=1\) and

rank \(\displaystyle A^4=0\)

I have no idé how I should think and to try guess the matrice don't fel correct..

\(\displaystyle |\pi\rangle\)

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