#1

Let A be a m*n matrix and B an n*k matrix. If ,

prove than .

#2

Let A be a m*n matrix with , B be an n*(n-m) matrix, with .

If , and in is a solution to the linear system ,prove there exists a unique in such that .

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- November 30th 2011, 07:25 PMmaoroproblem on rank
#1

Let A be a m*n matrix and B an n*k matrix. If ,

prove than .

#2

Let A be a m*n matrix with , B be an n*(n-m) matrix, with .

If , and in is a solution to the linear system ,prove there exists a unique in such that .