I found the following example on oxfordlearnersdictionaries.com. This is from the first entry of the verb feel. A pattern 'feel something' is given under this entry, while the verb 'feel' is listed as a linking verb. Does it mean a linking verb can be transitive? (There is also a sense which is explicitly listed as transitive.)
1 linking verb
to experience a particular feeling or emotion+ adjective
The heat made him feel faint.feel something
He seemed to feel no remorse at all....
3 [transitive] (not usually used in the progressive tenses)
feel something
to become aware of something even though you cannot see it, hear it, etc.
Can you feel the tension in this room?