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Use mathematical induction to prove that any checkerboard

Question: a. Use mathematical induction to prove that any checkerboard with dimensions 3 × 2n 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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