8. Given an 8-by- 8 board with one square missing (any square), use induction to prove that the remaining 63 squares can be covered with 21 L-shaped trominoes (tiles covering three squares). (Hint: Prove the more general statement for a 2n-by- 2n board.)

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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8. Given an 8-by- 8 board with one square missing (any square), use induction to prove that the
remaining 63 squares can be covered with 21 L-shaped trominoes (tiles covering three squares).
(Hint: Prove the more general statement for a 2n-by- 2n board.)
Transcribed Image Text:8. Given an 8-by- 8 board with one square missing (any square), use induction to prove that the remaining 63 squares can be covered with 21 L-shaped trominoes (tiles covering three squares). (Hint: Prove the more general statement for a 2n-by- 2n board.)
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