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(Solved): Find all matrices \( A \) of the form \( \left[\begin{array}{lll}0 & x & y \\ 0 & 0 & z \\ 0 & 0 & ...




Find all matrices \( A \) of the form \( \left[\begin{array}{lll}0 & x & y \\ 0 & 0 & z \\ 0 & 0 & 0\end{array}\right] \)
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Find all matrices \( A \) of the form \( \left[\begin{array}{lll}0 & x & y \\ 0 & 0 & z \\ 0 & 0 & 0\end{array}\right] \) Express all such matrices in terms of the free variable \( z \). Some of the entries could be of the form \( a z / b \) for some scalars \( a, b \in \mathbb{R}, b \neq \) Your last answer yas interpreted as follows: \[ \left[\begin{array}{lll} 0 & ? & ? \\ 0 & 0 & z \\ 0 & 0 & 0 \end{array}\right] \] This answer is invalid. Your answer contains question mark characters, ?, which are not permitted in answers. You should replace the The variables found in your answer were: \( [z] \)


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The given matrices are: A=[0xy00z000] B=[?41?5026002] Such that: AB=BA. The objective is to find all variables in terms of z.
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