Let Mn,p(K) be the set of matrices n×p with coefficients in K. Let A in Mn,p(Q). We suppose there exists a non zero solution X in Mp,1(R) to AX=0. (0 denotes [0]p,1) Show that there exists a non zero solution X′ in p,1(Q) to AX′=0

Cristofer Watson 2022-10-16 Answered
Let M n , p ( K ) be the set of matrices n × p with coefficients in K .
Let A M n , p ( Q ).
We suppose there exists a non zero solution X M p , 1 ( R ) to A X = 0. ( 0 denotes [ 0 ] p , 1 )
Show that there exists a non zero solution X p , 1 ( Q ) to A X = 0
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Alannah Yang
Answered 2022-10-17 Author has 22 answers

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