Question
If $A B=0$ then the columns of $B$ are in the of $A$. The rows of $A$ are in the of $B$. Why can't $A$ and $B$ be 3 by 3 matrices of rank $2 ?$
Step 1
We have two matrices $A$ and $B$ such that $AB = 0$. This means that the product of $A$ and $B$ is a zero matrix. Also, both $A$ and $B$ are 3 by 3 matrices with rank 2. Show more…
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