(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that rank(A+B) [tex]\leq[/tex] rank(A) + rank (B)

for every A,B [tex]\in[/tex] M_{m,n}(Real)

2. Relevant equations

N/A

3. The attempt at a solution

i only know how to proof this

rank(AB) [tex]\leq[/tex] rank(A) or rank(B),

and can this "rank(AB) [tex]\leq[/tex] rank(A) or rank(B)" help me to prove the above statement? can someone help me, to prove the above statement

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# Homework Help: Proving a Linear System

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