Let S = {2x + 1, x – 3}. Use the definition of span to show span(S) = P1. Use the process to generate formulas for c, and c2. Check your results by using those formulas to write i = 7x – 14 in terms of the vectors in S. Write out every step. Show all work.

Q: ..... A= -1 1 is diagonalizable. Select one: True False

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Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: ne blanks and b = -2x+9y, write

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Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms…

A: We have  the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a…

Q: Find the dot product of a = and b = .

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Q: et V₁ = (1, -2,-2), V₂ = (0, -1, -2), V3 = (2, -4,-5). re the vectors 1, 2 and 3 linearly…

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Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: List five vectors in Span (v₁, V₂}. Do not make a sketch. V1 = 9 4 V2 -6 -4 3 0

A: Consider the provided question,Here, the scaler element are from the field .Therefore, elements of…

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

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Q: There are 210 grade 12 students enrolled for se quidance department to determine the number 8…

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Q: -4 2 n = (-1, – 2) and D = 4 3 What is D· n? Enter your answer as a vector by filling in the boxes.

A: The vector <a, b> can also be written as ab. Multiply the vector -1-2 and given matrix in the…

Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

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Q: 15. If p = and q = find -3p + 2q (Make sure you put the vector signs before and after numbers).

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Q: - X3 + 5x4 = 0 X2 + 4x3 – 3x4 = 0 X1

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

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Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: Rewrite each vector in component form a. OP = 5j + 3k b. OQ = Zi – 4j + 7Ř %3D

A: Given, Vectors OP = 5j+3k OQ = 2i-4j+7k We have to rewrite each vector in component form.

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: 1. Write the vector v = 3 as a linear combination of the vectors:

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Q: 2. Let W be the subspace of R5 spanned by the vectors (1,1,1,1,1),(1,0,1,0, 1), (0,1,1,1,0),…

A: For the solution of the problem follow the next steps.

Q: x.y = Find the dot product of x = 2 and y = 2 H

A: Consider the vectors