( Let el be Hhe set of ymwetrie 2x 2. matrices with entries in a field F. AE u is a subspoee d MaxzCFyos don't need to suow this). ca) Find a bOSis for el and prove that is indeed a bosis. (b) what is the dimensionn d l

Determine the value of each of the following using the appropriate formula. 3!= Enter you answer; 3! (10-4)!= Enter you answer; (10-4)! 9!= Enter you answer; 9! (15-13)!= Enter you answer; (15-13)! C41= Enter you answer; 4C1 C47= Enter you answer; 7C4 C39= Enter you answer; 9C3 C04= Enter you answer; 4C0 C33= Enter you answer; 3C3 P16= Enter you answer; 6P1 P19= Enter you answer; 9P1       Save for Later

A horticulturist crosses two plants of the same species-one has a red flower and the other has a white flower. He knows from genetics that of the resulting seeds will produce plants with white flowers and will produce plants with red flowers. He harvests seeds and grows out 700 plants. How many of those would he expect to produce white flowers? (Simplify your answer completely.) plants How many of those would he expect to produce red flowers? (Simplify your answer completely.) plants

John Wallis and other 17th century mathematicians were struggling with how to fit negative numbers into arithmetic without introducing inconsistencies. Explain the reasoning leading to Wallis's paradoxical claim that, if negative numbers are less than zero, they must be greater than infinity. Wallis's argument depends, in part, on the assertion that (3/-1) = -3. Must this be true? Why or why not? If a student proposed Wallis's argument, how would you respond?