Question: Where in the Bible does it say James and Jude were martyred?

Where in the Bible does it say that James and Jude were killed for their faith?

The person who asked this question on Sunday said that they have done a search through the Bible to find no evidence of the martyrdom of James and Jude even though I said on Sunday that their martyrdom is strong evidence of the resurrection of Jesus.
In point of fact, the only Christian martyrs mentioned by name in the Bible are Stephen (one of the first deacons) and James the brother of John (not the brother of Jesus).
Whatever we know about the other first century martyrs comes from church tradition and early documents, and in those early documents there is strong consensus that James, Jude, Paul, and all the original disciples except for John were martyred for their faith in Jesus.