hi to all : ))(adsbygoogle = window.adsbygoogle || []).push({});

(excuse me for my english ^^')

I need help and I hope you can give me an hand, i must proof the null-rank theorem using block matrices but i can't resolve it.

This are the information in my possession:

I have the a function

f: R^n --->R^m

x --->y=Ax

I must reorder columns of the matrix A (m*n) and write A as:

(A1 A2)

(A3 A4)

where:

A1 is (r*r) with rankA=r

A2 is (r*q) with q=n-r

A3 is (p*r) with p=m-r

A4 is (p*q)

then resolving this linear sistem:

(A1 A2) (x1) = (c)

(A3 A4) (x2) (d)

I would find a proof for the null rank theorem.

Can someone help me pls? thk : ))

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# Need help: Proof Null-rank theorem with block matrices

Can you offer guidance or do you also need help?

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