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Show that if the columns of B are linearly independent, then so arethe columns o

ID: 2940384 • Letter: S

Question

Show that if the columns of B are linearly independent, then so arethe columns of AB
EDIT: Maybe a trick question or a typo? (I'm not a fan oftrick questions). There's definitely no A matrix. I just proved itwasn't true by picking an arbitrary matrix A and showed for alinearly independent B, AB is not linearly independent.
EDIT: Maybe a trick question or a typo? (I'm not a fan oftrick questions). There's definitely no A matrix. I just proved itwasn't true by picking an arbitrary matrix A and showed for alinearly independent B, AB is not linearly independent.

Explanation / Answer

What is the matrix A? I know it can't be any arbitrary matrix,because if A is the 0 matrix then AB's columns are definitely notlinearly independent.

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Show that if p is prime and p>3, then 2^p-2 +3^p-2 +6^p-2=1(mod p) I need help p
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