Dominoes on Checkerboard

Puzzle: You’ve got an 8×8 checkerboard and a bunch of dominoes that each fit nicely on two squares of the checkboard. You can easily tile the entire checkerboard with these dominoes. Now say that you remove two squares, one at one corner and the other at the opposite corner. You’re left with 62 squares. Can you tile this with the dominoes? If so, show how. If not, prove why not.

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