If ū = (1,–2, k) is a linear combination from v = (3,0, -2) and w %3D (2, –1, –5),then k = 8. O T O F

Q: For which value(s) of s, if any, v1, Let Vi V3 S 1 V2 and v3 are linearly independent.

A: For linearly independent, mode of matrix of vector is zero.

Q: Find the sum of components (X, + x,2), x,²) ) (2) of second linear yiskem, using the initial…

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Q: Which of the following subsets of R³ are linearly independent? {0} {{} } {O O } S1 S2 S3 6. 2 S4 = 1…

A: To determine which of the following subsets of R3 are linearly independent. S1=112S2=112, 212S3=112,…

Q: 4. Consider the set of functions S = {-3(x² – 4)°,7|x² – 4|³}. a. Show that S is a linearly…

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Q: Suppose v, w e R" and {v, w} is linearly independent. Prove that {v – w, 2v+w} is linearly…

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Q: Let v =| 0 V2= S, and v3 for which values of S, V,, Vz, and v, are linearly independent. Select one:…

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Q: Consider the linear map T : R? → R³ given by T (T) 4x1 where and the liner map S : R³ → R² given by…

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Q: Q:-2 If P is the pull required to lift a load W by means of a pulley block, find a linear law of the…

A: Let us solve the given problem by forming equations in the next step.

Q: 10. S = {x² + 3r + 1, 2x² + x – 1, 4.x + 1} is: a. a linearly independent set of P2. b. a linearly…

A: There is no specification given for P2. If we talk onto the set S then this set is linearly…

Q: dw Find and if w = x' + ln () + v, x = u² - "+ 5 and + y, x = u2 -+5 and y = 3v + 5u and point…

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Q: S(x)dt, iff(x)= Vx-k+1;k-13x< i, k=1, 2.n.

A: By substitution, we calculate the following Integral.

Q: Let f(z) = kz5 + az3 + cz.  Find v(x,y) if z = 6.7 + 2.9i , a = 7, c = 11, and k = 5. Round off…

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Q: Find the values of for which :=,0) and": =(a.1) are 4a-4 linearly independent in *".

A: To find the values of a for which the below vectors are linearly independent in R2. v1=4a−4, av2=a,…

Q: 2. We showed in class that EL (: - T)(y: – 9) can be written as a linear combination of ys: B1 = Gi…

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Q: e the Chain Rule to evaluate hu and u when w = xz+yz - z, x = uv, y= uv, and z = u and (u, v) = (1,…

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Q: Find the values of for which (40-4.0)ndV =(a,) la.1) are linearly independent in

A: Two vectors are linearly independent iff the matrix formed by placing the coordinates of each vector…

Q: If U=X and v=x(x-1) (y+1) then the stream line is y=e^((x^2/2-x) + C) – 1 ylgn O İhi O

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The functions y1, 2, ..., Yn are linearly independent, if and only if W (91, 32, ..., Yn)(to) #0 for…

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Q: Problem 10. If S and T are linear with S(v) = T (v) = = v, then S(T(v)) = v or v²?

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Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: Show that the functions e^x , e^2x , e^3x are linearly independent.

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Q: a). Derive the 4 x 4 system of equations required to fit the model y = f(r; co, C1, C2, C3) = co+…

A: a) There are n data points. (Taking points sequentially ) yi=c0+c1·xi+c2·xi2+c3·xi3   for all…

Q: Let f(z) = kz5 + az3 + cz.  Find u(x,y) if z = 3.8 + 6.8i , a = 6, c = 9, and k = 3. Round off your…

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Q: dw Choose the correct chain rule formula for below. ds O A. dw dn an ar ds dw ds dn О В. дм dw дn ds…

A: We have to use chain rule of derivative

Q: The set of all linearly independent solutions of D.E yY-y 0 is Select one: a. (1,t,e',e ) b.…

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Q: The functions y, = e* – e-X a y2 = - 3ex + 2e-x are linearly independent. True False

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Q: 3 If = u(1) = () a1 du dt ° ) u(t) where a2 u1 (t) and u1 (t) = B1e + B2et u2 (t) %3D and u2 (t) =…

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Q: E=D{(r,0,2): 0s es n, Os zs 1, Vzs rs 1.

A: Given,          E=r, θ, z : 0≤θ≤π, 0≤z≤1, z≤r≤1 To find:           ∫∫∫Ey2ex2+y23dV

Q: Are e^x, xe^x, and x^2e^x linearly independent? If so, show it, if not, find a linear combination…

A: To check for the linearly independent of given functions,  we use the definition of Wronskian.

Q: Let v =0, v= S and V3 1. for which values of S, V,V2, and v3 are linearly %3D ndependent. Select…

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Q: 3 If ° ) u(t) where a2 u(t) = ( uz(t) and u1 (t) = B1et + B2e' %3D and uz (t) = Bze' then And find…

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Q: Q:-2 If P is the pull required to lift a load W by means of a pulley block, find a linear law of the…

A: Given : P 12 15 21 25 W 50 70 100 120

Q: a b c C Suppose det = 1. Compute а — и b – v с — w det v – Y W – Z и- х — а y – b z – c -

A: Answer = 1

Q: (I).If Z=4cosw−6w,Z=4cos⁡w−6w,  find the relative percentage error in  ZZ  at w=0,w=0, if the error…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Show that if w = f(u, v) satisfies the equation fuu + fov = 0 and Q3) (Chain Rule) a² – y? if u =…

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Q: Which of the following set S is a linearly ndependent? .S = ((0,0), (1, 2)} p. S = {(1, 2), (2, 4)}…

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Q: Vx € A, P(x) 3x € A, P(x) = Q2. ......... Vx E A, ~P(x) 3x E A, ~P(x) .a 3x € A,~P(x) A 3x € A,…

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Q: If L(x, y) is the local linear approximation of f(x, g(2, 1)= 4, g,(2, 1)=4 and g,(2, 1)=6, then L O…

A: Use formula of linear approximation

Q: 5) Find ôw/ôv if w=x² +(y/x), x u-2v+1, and y= 2u +v-2, at the point (u, v) = (0,0)

A: We have to find all partial derivatives first.

Q: Consider the linear map T : R? → R³ given by xi + x2 T (포) : 4x1 where and the liner map S : R³ → R²…

A: Linear transformation problem....

Q: 1. Let vi = • V2 = S V3 = For which value(s) of s, if any, v1, 0. 1. V2 and va are linearly…

A: Given the vectors:

Q: et V1=0,v2 S, and v3 = 1 for which values of S, V,, Vz, and v3 are linearly ndependent. Select one:…

A: I have append the concept in the solution part.

Q: If two functions yı(t), y2(t) E C^ (R) are linearly independent, then y (t) and y, (t) must also be…

A: Suppose that there exists functions f f and g g defined on the real numbers and differentiable…

Q: S 1 Let v =0, v2 s, and v3 1 for which values of S, V, V2, and vz are linearly independent. Select…

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Q: The functions f₁(x)=e(x+a), f2(x)=e(x+b), and f3(x)=e(x+c), where a, b, and care constants, are…

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Q: S 1 Let V1 = 0|, v2 =| S, and v3 = 1 for which values of S , V1, V2 , and v3 are linearly…

A: We first write the given vectors as column of a matrix. So,  we get A=S100S101SNow, given vectors…

Q: Consider the linear map T : R? –→ R³ given by T (T) 4x1 where and the liner map S : R³ → R² given by…

A: matrix associated with a linear transformation.

Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

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Q: find the ideal.Sdution for the following Linear model: min(z) =3X+2 メ、+Xレ26 2 Xi+2 XxZ12 メト→メ20

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.