The rank and the nullity of A, respectively are 1 2 3 11 0 0 1 5 0 0 1 2 000 0 A = a. 1,3 b. 2,2 c. 3,2 d. 3,1 e. 2,3

Q: A subgroup H of a grop G is normal iff           xHx\power{-1}=H  ∀ x∈G.

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Q: = J 5 ghi a b C 2f+c 2d+a 2e+b h g h (Simplify your answe

A: If  we have to find

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Q: 2. Consider the following graph showing the derivative f' of a function f. (2.12.2.03) -5 5 8 fod 5

A: As per the guidelines I am answering first three parts only.Given graph

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Q: 1. Consider the graph of the function f shown below. (a) Determine lim, so f(x). (b) Determine lim,…

A: According to answering guidelines of the platform. Here we have many sub parts uploaded. According…

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A: The region is bounded by

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Q: 9w + 8x + 9y + 2z = 42 5w + 2x + 7y + 37 = 45 Gw + 4x + ³y +62 = 53 Sw + 2x + 5y + 62 = 63

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Q: In Exercises 19-20, find scalars c₁, C₂, and c3 for which the equation is satisfied. 19. c₁(1,−1,0)…

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Q: how that there do not exist scalars c₁, c₂, and c² such that c₁(1,0, 1,0) + c₂(1, 0, −2, 1) +…

A: Solution :-

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Q: Use Cramer's rule to compute the solution of the system. X₁ + X₂ 7x1 x2 + 4x3 4x3 = 2 = 0 = 3 ×₁=0;…

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A: Note : Since you have posted a question with multiple sub-parts, we will solve the first three…

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A: Suppose that I Then, (1)  can be  written as I,where   and  Let   be the  potential  function of…

Q: (a) Obtain the null space of the matrix below and write out a basis for it. (b) Verify the Rank…

A: (a) Obtain the null space of the matrix below and write out a basis for it.(b) Verify the Rank…

Q: 1. Use the variation of parameters method to solve the equation y" + y = secx.

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

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Q: Assume we have the graph as shown in Figure 8. Show the vertex list of the graph.

A: The graph given in the figure is a graph on 6 vertices and has 5 edges.

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Q: 1. Sketch the graph of a function f with the following properties. f'(x) > 0, for x 0 ƒ" (x) > 0,…

A: Sketch the graph of a function f with the following properties,

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A: We shall solve the first part only. If you want us to solve the second part please upload the…

Q: In Exercises 9-10, find u · v, u · u, and v.v. 9. a. u =(3, 1,4), v = = (2,2, −4) b. u = (1, 1, 4,…

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Q: 5. Next Monday, Concrete Co need to supply concrete to four different building sites. They prefer to…

A: We shall solve the part b). If you want us to solve the other parts please resubmit or reupload the…

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A: We have to find fundamental matrix.

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Q: 3. Draw the standard yz- and xz- traces of the quadratic surface x² + y² − 2x − z + 1 = 0

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Q: The suitable Liapunov function for the system a) V(x,y) = x² + y² b) V(x, y) = x² + 2y² c) V(x, y) =…

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