设[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]是[tex=2.357x1.071]QArHY/B/HPaeI4OFb8f5sA==[/tex]矩阵.证明：[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]是列满秩矩阵当且仅当存在[tex=0.5x0.786]ICKY+F5VdoSQrRn/wUUOyw==[/tex]级可逆矩阵[tex=0.643x1.0]Ft8KOBgb78fnKY0jEt4Rsg==[/tex]，使得[tex=5.714x2.786]GOgGvXf8fpWrP7XGIdsj8/NUqPJl/9cX6USGFSTASsQOKHl4580Mpt6T6Dn85xpMOGmjKwp5eZciA0U/RdGbPg==[/tex].
设[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]是[tex=2.357x1.071]QArHY/B/HPaeI4OFb8f5sA==[/tex]矩阵.证明：[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]是列满秩矩阵当且仅当存在[tex=0.5x0.786]ICKY+F5VdoSQrRn/wUUOyw==[/tex]级可逆矩阵[tex=0.643x1.0]Ft8KOBgb78fnKY0jEt4Rsg==[/tex]，使得[tex=5.714x2.786]GOgGvXf8fpWrP7XGIdsj8/NUqPJl/9cX6USGFSTASsQOKHl4580Mpt6T6Dn85xpMOGmjKwp5eZciA0U/RdGbPg==[/tex].
1