To prove: If exactly one black square of an m- by- n chessboard is forbidden, then the resulting board has a tiling with dominoes, where m and n are odd.

Question

Want to see the full answer?

Answer 1

Question

Chapter 9, Problem 4E

To determine

To prove: If exactly one black square of an m-by-n chessboard is forbidden, then the resulting board has a tiling with dominoes, where m and n are odd.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Suppose that you want to estimate the mean monthly gross income of all households in your local community. You decide to estimate this population parameter by calling 150 randomly selected residents and asking each individual to report the household’s monthly income. Assume that you use the local phone directory as the frame in selecting the households to be included in your sample. What are some possible sources of error that might arise in your effort to estimate the population mean?

The functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph. + N y 10 LO 5 f(x) = x² - 3 4 ♡ -3 -2 -10 -1 -2 -4- -5 x 2 3 4 56 7 8 9 g(x) = x² + 2 If the equations were changed to the inequalities shown, explain how the graph would change. y≤ x² - 3 y>-x²+2

a) find two linear map f. 9: R² →R³ s-t (1-5)=(1,-5)=(2, 2,0) b) let f: RR linear map set (3)=-\ find (√5) and (√7) f (-1) c) let X be Vector space over R and let sig ex difcid h: X-R³ s.t h(x)=(f(x),0,9(x)) xex Prove that his linear map- d) let f = L(x) S-t f²+2f+1=0 find §. e) find ker(s) s-t SiR³ R² = f(x, y, z)=(2x+1). ******