## Question

###### Problem 5_ Let A be an m X n_ m < n. Show that A has Fank m if and only if there exists indices 1 < j1 < jz < jm < n such that the m X m matrix consisting of the j1, j2: Jm columns of has non-zero determinant .

Problem 5_ Let A be an m X n_ m < n. Show that A has Fank m if and only if there exists indices 1 < j1 < jz < jm < n such that the m X m matrix consisting of the j1, j2: Jm columns of has non-zero determinant .

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