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: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: By the seperation of variable we consider the unknown is the product of two functions one is the…

Q: Q.2:0Find the inverse the matrin A = -1 8 to (I A""). by converting Cii) P leas (A! 2) Comment on…

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|

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Q: 3. 3х1 - 2хг -4x1 + 6x2 3 =-5 =

A:

Q: Find the values of w,x,y and z in fraction form using a)gauss elimination, b) gauss-jordan…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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: 4. (5pts) Determine if the columns of 3 -2 5 -6 -1 A -6 0 3 4 7 span R'.

A:

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

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: +3y 2- こ4 a) + 4z =|| 3メ -2y 2x + 37 こ(3

A: a) To determine x,y,z using Cramer's Rule: x+3y-z=43x-2y+4z=112x+y+3z=13 Use Cramer's Rule: x=DxD,…

Q: One of the following vectors lies in span{ 2+x + æ2, 3+-2a2} (A) 5 + 3x + 4x2 (B) 5 + 3x + 5æ? (C) 5…

A:

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: Suppose vi, V2, V3, b, d are vectors in R". Further suppose that -vi + v2 + vz = -b, 2v1- 2v2 + v3 =…

A: Given v1,v2,v3,b,d are vectors in Rn.-v1+v2+v3=-b ,…

Q: ^= Let A 8 -1 1-2 1 5, let b: ↓ tb=| [3] the set of all linear combinations of the columns of A. and…

A: A=206-1851-21, b=1033 W be the set of all linear combinations of the columns of A. i.e. W=span2-11,…

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

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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: (8 (10 pay x/x = (x+x)= xpe (1)3-x 21-AIBALI only one

A: As per bartlby guidelines we can answer only first question and rest can be reposted

Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: Create a vector a with elements = (-1)" 2n (2n)! 1≤n≤ 100

A:

Q: Let C ~ Cauchy(0,1). Show that C² + C-2 =9 4C² + 2.

A: c^2+1/c^2 &gt;2 thats why it is equal to 4c^2+2

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: 7. Matrix A has three columns. The first and second columns are (1,2,3) and (3,1,-1) respectively.…

A: Null space vector satisfy AX=0   We are allow to solve one question at a time ,if you need rest of…

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).