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
The heat made him feel faint.
He seemed to feel no remorse at all.
3 [transitive] (not usually used in the progressive tenses)
to become aware of something even though you cannot see it, hear it, etc.
Can you feel the tension in this room?