a + b+c a + 26 + 4c + 2d` 3. Let m(a, b, c, d) = and set (а+ 2b + 3с + d a+ 2b+ 3c+ 2d) {m(a, b, c, d) E M2x2(R) | a, b, c, d E R}. Compute the dimension of M. M а,

Q: 10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn)…

A:

Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

A:

Q: u = 3i – 2 j+4k v=i-3j-k 18) (Section 9.7) Find the cross product in space i j KI 3 -2 4 -3 -1|

A:

Q: 3. 3х1 - 2хг -4x1 + 6x2 3 =-5 =

A:

Q: If u = -3i-6j and v = 6i+8j, then find u + v. Please show work A) 3i+2j B) -9i+2j C) 2i+2j D) 9i+2j

A:

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: 1) Let v ={-2, 5} , and W ={3,4). Find each vector a) 2v b) w-v c) v + 2w 2) Let u = {1, 4 } and v…

A: 1. Given v=-2,5  and w=3,4 find a)2v b) w-v   c)v+2w 2. Given u=1,4 v=3,2   Find a) u+v b) u-v…

Q: 1-4 -4 3 and b₂ be column 2 of B. If A= b₁ = b₂ 5 and AB = 0.69230769 - 1.07692308 - 19 -5 6 11 -6 7…

A: and .We have to find first column and second column of matrix .

Q: - a +b -c+d = 0 - 2a +b+c-3d = 0 b) a+ 2b – 3c +d = 0 2a +3b +4c– d = 0

A:

Q: Let 7 -7 2 -2 -5 %3D - 3 -2 9. -8 a) Find the dimension of the row space ofA. b) Find the dimension…

A: The given matrix,A=117-72-2-565-3-25409-8

Q: Given the vector (x <- c(5, 2, 7), what would x^2 return? O [1] 78 O [1] 196 O [1] 25 4 49 O [1] 10…

A: Given that, the vector is        ,we need to find .

Q: 2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {...,…

A: According to guidelines we can solve only first three subparts and rest part can be reposted…

Q: Assume that n(U)=115n(U)=115, n(B′)=65n(B′)=65, n(A∩B′)=32n(A∩B′)=32, and n(A∩B)=19n(A∩B)=19 Find…

A: Now consider,

Q: 2. Let V be the set of all ordered pairs of real numbers, and consider the following addition and…

A:

Q: n(U)=85, n(A)=43, n(A∩B)=22, n(C)=12, n((A∪B)′)=24, and (A∪B)∩C=∅. Find the following. (1) n(C′)=…

A: Given , n(U) = 85 ,  n(A) = 43 n(A∩B) = 22 ,  n(C) = 24 n((A∪B)')=24 n((A∪B)∩C)=∅

Q: Q1. Which equation can show the "linearity" of Ordinary Least Square (OLS) assumption? A) Y=B1 +…

A: A linear regression equation only sums the terms in the model while the model must be linear in the…

Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).