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Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar (conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ji}$ for all $i\neq j$?(With some abuse of terminology,a matrix $B$ with this property is called "Semi antisymmetric").

If the answer to the above question is affirmative, then the answer to the following question is affirmative too:

https://mathoverflow.net/questions/279879/is-a-linear-vector-field-geodesible

The reason is mentioned in Remark $2$ of the latter post.

Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar (conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ji}$ for all $i\neq j$?(With some abuse of terminology,a matrix $B$ with this property is called "Semi antisymmetric").

Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar (conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ji}$ for all $i\neq j$?

If the answer to the above question is affirmative, then the answer to the following question is affirmative too:

https://mathoverflow.net/questions/279879/is-a-linear-vector-field-geodesible

The reason is mentioned in Remark $2$ of the latter post.

Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar (conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ji}$ for all $i\neq j$?(With some abuse of terminology,a matrix $B$ with this property is called "Semi antisymmetric").

If the answer to the above question is affirmative, then the answer to the following question is affirmative too:

https://mathoverflow.net/questions/279879/is-a-linear-vector-field-geodesible

The reason is mentioned in Remark $2$ of the latter post.

Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar(conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ij}$ for all $i\neq j$?

If the answer to the above question is affirmative then the answer to the following question is affirmative , too:

https://mathoverflow.net/questions/279879/is-a-linear-vector-field-geodesible

The reason is mentioned in Remark $2$ of the latter post.

Is it true to say that every matrix $A\in M_n(\mathbb{R})$ is similar (conjugate) to a matrix $B=(b_{ij})$ with $b_{ij}=-b_{ji}$ for all $i\neq j$?

If the answer to the above question is affirmative, then the answer to the following question is affirmative too:

https://mathoverflow.net/questions/279879/is-a-linear-vector-field-geodesible

The reason is mentioned in Remark $2$ of the latter post.