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 ABEDIT: 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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