Hello, can you please help me with this question. Thank you so much!
1 . Let [ : Man -> Min be defined by [ ( A ) = = ( A + AT )( a ) ( 5 points) Show that I is a linear operator on Man .( b ) ( 7 points ) Show that ker I is the subspace of all ~ x ~ skew – symmetric matrices .( c ) ( 8 points ) Show that range I is the subspace of all ~ x ~ symmetric matrices . ( Becareful about this part . )