Question
Consider an $n \times p$ matrix $A$ and a $p \times m$ matrix $B$ such that $\operatorname{ker}(A)=\{\overrightarrow{0}\}$ and $\operatorname{ker}(B)=\{\overrightarrow{0}\} .$ Find $\operatorname{ker}(A B)$
Step 1
This means that the null space of both matrices only contains the zero vector. In other words, there are no non-zero vectors that when multiplied by either matrix A or B, result in the zero vector. Show more…
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