Barry and Chris (not Alex and Chris)
Thanks for the catch. I've updated the explanation.
Which doors are open?
Sum the numbers on the main diagonal
Sum of series III
Sum of series IV
Matlab Basics - Logical Tests I
Scrabble Scores - 10
Divisible by 2
Stress-Strain Properties - 4
Inscribed Pentagon? 2
Lights Out 5 - 5x5, 10 moves
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