I absolutely don’t know that Matthew wrote Matthew. Most of the “Gospels” were were written in pseudonym 50 to 80 years after the resurrection . The only one that I accept as actual eye witness is John and even that is very shaky. I view the others as hearsay campfire legends but when you think about it all history is written hearsay — I have read war accounts in the civil war by women!! but that is ok as history if they are studied. Paul was never an eye witness to Christ. I personally believe that he was inspired by Jesus . I have grave questions about the rest — except John, Thanks for asking.
Okay.
If that is the case, what are your grounds for believing in their inspiration? It is known as “the Holy Gospel According to St. Matthew”; if it is not truly so, why would you find it credible or inspirational?