Mathematics, 09.10.2019 21:00 genyjoannerubiera
Consider a matrixa∈ mm, nand a vectorb∈rm, and letax=bbe the correspondingsystem of linear equations. the systemax=0is then called thehomogeneous systemassociated toax=b. letsbe the set of solutions ofax=b, and lets0be the setof solutions of the associated homogeneous system. prove that ifx∈ sandu∈ s0thenx+u∈s.
Answers: 2
, 
, and since 
then 
.
, this implies that 
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Consider a matrixa∈ mm, nand a vectorb∈rm, and letax=bbe the correspondingsystem of linear equations...
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