a. Use mathematical induction to prove that any checkerboard with dimensions 2 × 3n can be completely covered with L-shaped trominoes for any integer n ≥ 1.
b. Let n be any integer greater than or equal to 1. Use the result of part (a) to prove by mathematical induction that for all integers m, any checkerboard with dimensions 2m × 3n can be completely covered with L-shaped trominoes.
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