Suppose A= where A is not diagonalizable and trace of A is equal to 2. Then Oa a-125 Oba,-4 Od og - 12.5

Q: In ADEF, K is the centroid. If KJ=22 find EJ. E G H K D F J

A: Centroid of a triangle devides the each median into 2:1 ratio.

Q: 2. Given A = {1,2,3}, B = {7,apple, .5} and C = {r|x < 3 and r 2 -1}, compute the following %3D %3D…

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Q: Draw the bifurcation diagram for i = (x – 3)(c+ x)

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Q: The projection of onto the line through zero and is a. (G) b. d. 0.

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Q: A) compute x the component of x that is parallel to L and x the component of x that is orthogonal to…

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Q: In AEFG, L is the centroid. If LJ=25 find EL. F H J E K Answer: Submi

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Q: The graph below shows the direction field for y' = 8 + 2 y, and the initial point (to, yo) is shown…

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Q: Y=√x, but is shifted to the right 1unit y =

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Q: Say that E = Ãek™, where the components of A and k are real and constant, i.e. they aren't imaginary…

A: A vector is a quantity that has both magnitude and direction. In general, vectors are represented as…

Q: b) Find A6 for A = by using the advantage of the diagonal representation by similarity…

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Q: Let x = 21 +mj and ỹ = -3ī +8j. Determine the value of m if: a) x and ỹ are collinear b) x and ỹ are…

A: Answer: a) x→ = 2i→+mj→ and y→ = -3i→+8j→ are colinear if m=-316 b) x→ = 2i→+mj→ and y→ = -3i→+8j→…

Q: Let A ∈ M (3,R) be invertible and C, D ∈ M (3,2,R) . Solving B from the equality A(B+Ct)t = D, what…

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Q: a b L:M,(R)→R’, L 2)-(a+26,b-3c,c+d)

A: First I have written the definition of Linear Transformation , just use this definition for given…

Q: Which transformation includes a reflection off (x) = (x – 1)² + 1 over the y-axis? Of'(x) = (-4x –…

A: Given query is to find expression which has reflection over y axis.

Q: Find the coordinates of the vertices of the figure after the given transformation: T-5,-2> Ay V LE K…

A: We have to find the coordinates of the vertex after transformation.

Q: The transformation T: R? → R², T[a _b]=[a_1]. is linear

A: According to the given information, it is required to check whether the given transformation is…

Q: Find the Jacobian of the transformation x = 5и + 6v, у — и? + 7u

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Q: Show that if T : R2 → R2 is a linear transformation, then it maps the unit square to a parallelogram…

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Q: Let Ps have the inner product given by evaluation at-2,-1, 0,1, and 2. Let p(t) = t2- 2t and q(t) =…

A: Let P3 have the inner product given by evaluation at -2, -1, 0, 1 and 2 . Let p(t) = t2-2t  and q(t)…

Q: Find the imaginary component of In(2z + w) if z = 11 + 9i and w=10+4i .

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Q: The transformation T: R? → R?, T|a__b]=[a+2 b- 2]. is linear

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Q: Let x,y ∈ Rn Show that: |x + y| 2 + |x - y|2 = 2|x|2 + 2|y|2

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Q: In AEFG, L is the centroid. If LJ=9 find EL. H J E K

A: We have given a triangle. In which LJ is the centroid. And we have to find EL

Q: Suppose AE R, v#0, and (A- A)v#0. Use the fact that A is symmetric show that it is impossible to…

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Q: 2 A = 1+i 3

A: Given matrix is A=21+i1-i3 let the eigenvalue is λ. So…

Q: Find ATA and AA". 2 0 1 %3D -1 4 2 (a) ATA 1 1 (b) AAT 21 Which of the products are symmetric?…

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Q: Suppose A E C such that A(2 + i, 3 – i) = (5 – i,7 – 5i). Then (1) A = (1 – i) (2) A = (2 – i)

A: Given that: 1. λ∈C, λ(2+i, 3-i)=(5-i, 7-5i)   NOTE: As per our answering guidelines, we can only…

Q: Using the method of Gaussian elimination, compute inverses to each of the following ma- trices: 0 0…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What transformation relates ACDF and AC'D'F? y C

A: Given the diagram

Q: Find A'A and AA". -1 1 4 A = 2 0 2 (a) ATA (Б) ААТ Which of the products are symmetric? (Select all…

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Q: When do you use these formulae? Explain briefly. X-X Scaffold 3: X-X a. Z = b. Z = - tion:

A: z score: A z-score represents the number of standard deviations from the mean. It is also called…

Q: Find invertible representation of Y, = 0.9Y;-1 + e; + 0.5e;-1

A: Given: time series AR(2) process  Yt=0.9Y(t-1) +et+0.5 e(t-1) Then find invertible of Yt?

Q: Using the method of Gaussian elimination, compute inverses to each of the following ma- trices: 3 -3…

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Q: Illustration 19. Consider the linear transformation L : R3 → R³ defined by 221 d2 аз аз

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Q: For which transformation would triangle RST have image R'S'T'?

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Q: H.w ) find the generated af: ty, 7s7z and Zg

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Q: Let →a=⟨7,−5⟩ and b→=⟨1,3⟩. Compute the dot product. →a X →b=

A: Given a→ = 7,-5 and b→ = 1, 3. We have to compute the dot product a→·b→.

Q: Express −i+j in the form [a,b]

A: Simplification

Q: Find the period of the linear congruential generator defined by (a) a = 2, b = 0, m = 5 (b) a = 4, b…

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Q: Find the Jacobian of the transformation. X = 8u + v, y = 9u – v

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Q: Draw the bifurcation diagram for i = (x – 3)(c + x)

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Q: Let r (t)= - The x component of r' (-1) =

A: r'(t)=&lt;2t,3,5&gt; r'(-1)=&lt;-2,3,5&gt;

Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.

Q: 1234 5678 9 10 11 12 13 14 Find the coordinates of the image J (8, 7) after a reflection over the…

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Q: Find the Jacobian of the transformation 3v, y = u? + 3v

A: We have to find the jacobian

Q: Use a graphing utility to determine whether A is orthogonal. 3 0 A = 0 1 0 0 Find the following. A-1…

A: To find the inverse and transpose of a matrix A and tell whether matrix A is orthogonal or not.

Q: 1. Let T: R3 R3 be a linear image, which satisfies that (-3 Tei = -3/22, T(ez) = 9/2 and T (es) = -3…

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Q: Shonda was curious if segments WX and Y Z were congruent, so she tried to map one figure onto the…

A: Option A will be the right answer.