let A be an antisymmetric and invertible matrix $A \in M_{2m}(\Bbb{R})$
prove that A is congruent to $$ \begin{pmatrix} 0 & I_m \\ -I_m & 0 \\ \end{pmatrix} $$
prove that $-A^{2}$ is a positive matrix
thx
let A be an antisymmetric and invertible matrix $A \in M_{2m}(\Bbb{R})$
prove that A is congruent to $$ \begin{pmatrix} 0 & I_m \\ -I_m & 0 \\ \end{pmatrix} $$
prove that $-A^{2}$ is a positive matrix
thx
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