Question $3(25$ points$)-$ Performance Evaluation

Consider two classifiers, $\backslash (\backslash$mathbf$\{$A$\}\backslash )$ and $\backslash ($ B $\backslash ),$ with the following confusion matrices:

Classifier A:

Classifier B:

$-$ Calculate precision, recall, and F$1$ score for both classifiers. $(10$pts$)$

$-$ Critically evaluate which classifier is better for a context where minimizing false negatives is more important and justify your choice. $(15$pts$)$