Compute u + v, 2u – v, 3u – 2v, and 0 – 3v if (a) u =| 2 3 2 (b) u= = -3 (c) u = 1 4

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A: Solution :

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A: Solution:

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A: Let's find.

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A: H is correct

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A: Here we use dot product to solve this problem.

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A: This question is related to linear transformation . See 2nd step.

Q: Minimize c = s + t + u subject to 3s + 2t + u ≥ 48 2s + t + 3u ≥ 48 s + 3t + 2u ≥ 48 s ≥ 0, t ≥ 0, u…

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A: The solution is given as

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A: Here we have to use cramer rule for solving the system of linear equations

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A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

Q: 9. Solve u +u =0 for 0≤x≤1, 0≤ y ≤1, given u(x,0)=0, u, (x,1)=0, u(0, y) = 0, XX yy u(1, y) = 1.

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A: Please see the below picture for detailed solution.

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Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=

A: Given that, u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v

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Q: Compute u + v and u - 2v. - 5 u = - 2 , v = 1 4

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (−1, −1, 1), v = (−1, 1, −1)

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Q: Find the cemplex fourth routs of Z: 2 J3-22

A: Given, z= 2√3-2i Therefore, r= √[(2√3)²+(2)²] r= √(12+4) r= 4 θ= tan-1(-2/2√3) θ= -30°

Q: -2 4. Let u = 1 and v = and w = Compute (u x v) x w.

A: Given:  u=-2,1,1, v=1,0,3 and w=-1,1,1   To compute u×v×w

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A: Given,

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A: Explanation of the answer is as follows

Q: u + 1, U2 + V2 1), (a) Compute u + vand ku for u = Solution: Ia + In) (1,2), v = (- 1,:

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Q: Find the null space associated with the equations: 2x+z+w = 0 7x-6y–z–w-v = 0 -5x+4y+w = 0

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Q: If f = ux+v-y, g=u²+vy+ w and O(f.g,h) ô(11,v, w) h= zu -v+ vw compute

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