Question
True or false: If $\operatorname{ker} A=\operatorname{ker} B, \operatorname{then} \operatorname{rank} A=\operatorname{rank} B$.
Step 1
- The rank of a matrix \( A \), denoted as \( \operatorname{rank} A \), is the dimension of the column space of \( A \), which is the number of linearly independent columns of \( A \). Show more…
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