STAT 3502 Chapter 5: STAT 3502C - Chp 5 Summary

2. Suppose that C is a mxn matrix D is a pxq matrix, F is a r X s. Assume that the matrix CDT +CFT is well defined. Which of the following is true? (A)m=n=s=q and p=r B) m =n=p=q=r=s. C) m=n=p=s and q=r. D) m = p=n=. E) None of the above.

Let p and q be the propositions P: I bought a lottery ticket this week. Q: I won the million-dollar jackpot. Express each of these propositions as an English sentence. a) P b) p q c) p rightarrow q d) p q e) p doubleheadarrow q f) p rightarrow q g) p q h) p (p q

a d b e c f (e) A= and B= 7-2d -e 2a b 29h e+f -b-c -h-i) \ h il