11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19...
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1 < 6, i-1,...,4, 2 Suj ui (For (.) type C(6,4).) 11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1
Using generating functions, find the number of solutions of the equation u1+u2+u3+u4+u5+u6=24 where 2 _< ui _<7, i=1,....,6
Using generating functions, find the number of solutions of the equation u1+u2+u3+u4+u5+u6=24 where 2 _< ui _<7, i=1,....,6
Using generating functions, find the number of solutions of the equation (For ф type C(6,4), and for 5l type fact (5).) Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4).) Using generating functions, find the number of solutions of the equation (For φ type C(6,4).) Using generating functions, find the number of solutions of the equation (For ф type C(6,4), and for 5l type fact (5).) Using generating functions, find the number of...
using the principle of inclusion-exclusion, find the number of solutions of the equation u1+u2+...+u6 = 15, where ui<6,i=1,..,6.
12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For ( 12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For (
10. Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4), and for 5! type fact (5).) 10. Using generating functions, find the number of solutions of the equation 7. (For φ type C(6,4), and for 5! type fact (5).)
4. (a) L ,DER et a i. Let U1 be the set of solutions for the equation For which values of a and b is U1 a subspace of R4? ii. Let U2 be the set of solutions for the equation For which values of a and b is U2 a subspace of R4? iii. Let U3 be the set of solutions for the equation For which values of a and b is Us a subspace of R4? Justify your...
Consider the bases B = {U1, U2} and B' = {u', u'z} for R2, where 6 1 u = u2 = U2 = -1 -1 2. 5 Compute the coordinate vector [w]B, where W = [3 7 3 and use Formula (12) [v]s' = P. PB-8 [V]B ) to compute [w]g' [w]B = ? Edit [w] II ? Edit
The angle between two vectors u1=x1i+y1j+z1k and u2=x2i+y2j+z2k can be determined by cos()=(x1*x2+y1*y2+z1*z2)/(|u1|*|u2|), were |u1|=sqrt(x1^2+y1^2+z1^1). Given the vectors u1=3.2i-6.8j+9k and u2=-4i+2j+7k, determine the angle between them (in degrees) by writing one MATLAB command that uses element by element multiplication and the MATLAB built in functions acosd, sum, and sqrt. This is what I tried but i don't think it's correct because it should be one value and I got a vector u1=[3.2 -6.8 9] u2=[-4 2 7] theta=acosd(sum(u1.*u2)./sqrt(u1).*sqrt(u2)).