grandes-ecoles 2016 Q8

grandes-ecoles · France · x-ens-maths__psi Matrices Linear System and Inverse Existence
Show that if $M \in M _ { n } ( \mathbb { R } )$ is antisymmetric (that is ${ } ^ { t } M = -M$) then $I _ { n } + M$ is an invertible matrix. 
Show that if $M \in M _ { n } ( \mathbb { R } )$ is antisymmetric (that is ${ } ^ { t } M = -M$) then $I _ { n } + M$ is an invertible matrix.
Paper Questions
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