Are the birth and death dates of Saint Matthew known?

None of Jesus' original apostles deaths are known. They all disappeared without a trace.

AnswerWhile the deaths of the Apostle's can never be an article of faith worth dying for for any Christian, there is no real reason to doubt traditional accounts of their deaths, since they are not filled with the typical grossly exaggerated characteristics of mythology and also fit in well with what we know happened to many thousands of others under hostile Roman rule - unless ones bias equates to the equivalent of Holocaust denial.

In any case, only a few of the early Christian leaders deaths are recorded in The Bible, since it was finished being written at a relatively early date. If it was written at the late dates ascribed to it by 19th Century skeptical scholars, then all the disciples deaths would undoubtedly have been recorded in it.

Matthew, along with the others, was never an object of Christian veneration. And, along with the standard practice of ancient historians only important events are recorded with occasional historical 'anchors' or 'markers' to give a rough time frame. The ancients simply did not have our obsession with specific time accuracy, but the meaning of key events was their emphasis.