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.