A(X) = 1 1 1 1 1 1 € Rnxn det A(A) = (A-1)-¹(X+n-1).

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Q: 。 f(x)dx

A: We have to find the integral value

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Q: (b) Find a solution to the equation 426k+330l = gcd(426,330) where k and l are integers.

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Q: Find the image of the disks (2) ≤ 1 and 1z - | ≤ 1 under the given linear fractional transformation…

A: (.) We have to find Image of the disks  z≤1 and z-i≤1 under the given linear fractional…

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A: To Find: Minimum and maximum value of x in the figure below:

Q: 5) Prove Theorem 7.5.4: If two coplanar triangles are point perspective with the same noncoplanar…

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Q: What is the interval of convergence for this series?

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A: The statement is false. Here's a counterexample: Let S be the unit sphere in R^3, and let T be the…

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A: For given Q(k) = 2k+9, we have to complete the given table for k =2,3,4,5,6,7 and find the…

Q: Determine intervals in which solutions exist (x² - 4)y (6) + x²y" +9y = 0. 4)y(6)

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Q: 4. How many ways are there to add one edge to the graph below to make it strongly connected. 10

A: We have to find How many ways there are to add one edge to the graph below to make it strongly…

Q: 4.35 When we decompose a vector space as a direct sum, the dimensions of the subspaces add to the…

A: When we decompose a vector space as a direct sum, the dimensions of the subspaces add to the…

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A: The method used here was to first express y in terms of g(x), then apply the inverse function g^-1…

Q: 1. Verify that the relation ~ is an equivalence relation on the set S given. (a) S = R reals, a ~ b…

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Q: Let f(x)= 3x for every x E R. Let p(x) be the polynomial of degree at most two that agrees with this…

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Q: Let B = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for…

A: In first we have to find change of basis P matrix ..the procedure is given below

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A: I have explained everything with in the solution. Please go through that..

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Q: 4. The following ISBN has been received. What is the missing digit? 02116531 - 4

A: We can write the given number as 02116x5314.

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Q: Compute the dot product u - V. 6 1) u = 2) u = 5, V = 3 -18] 0, V= -9 25 2 -5 2 1

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Q: Arabic doing viced by an intelligence agent to record most conversations. The perabote surface…

A: Diameter 100 cm at the top and 30 cm deep at its center. To find the distance (a) of microphone…

Q: a) _So(5 - 4) b) Σ=1 6 (2n-1)(2n+1)

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Q: Select each differential equation that matches the slope field segment.

A: 1) Differential equations: a) y'=e-x2b) y'=x3-xc) y'=y15-yd) y'=cos15-ye) y'=y3-yf) y'=cosy 2)…

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A: We have a group Z4. We have to prove that Z4 is cyclic.

Q: A = 21 2 0 6 2 8 5 0 2 7 Find the least square solution for the system Ax=b where b = (-2,-1,0, 1,…

A: It is given that  AX=b A=2016285027b=-2,-1,0,1,2T We have to find the least square solution of the…

Q: Evaluate the surface integral - [[F-ds when I = F(x, y, z)= e(4xi+j) and S is the graph of shown in…

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Q: Problem 42. Let A be an n x n matrix. Prove that dim (span({In, A, A²,...})) ≤n.

A: Proof :  Let  A be n×n matrix.We have to show that- dim  span ({ In , A, A2, ...}) ≤ n

Q: -|-₂ Find two different diagonal matrices D and the corresponding matrix S such that A = SDS-¹ Let A…

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Q: Exercise 1: Determine the zero of f(x) = (2x − 3) 2 − 7x with the NewtonRaphson method with a…

A: fx=2x-32-7xx0=3 The error of tolerance is 0.03 Note: Given f(x) = (2x − 3) 2 − 7x is in the problem.…

Q: Compute the volume of the box -1 ≤ x,y,z ≤ 1 using spherical co- ordinates. (Note: this is a…

A: We need to compute the volume of the box -1≤x, y, z≤1 using spherical coordinates. We express the…

Q: Y11 Y21 ions of the homogeneous system ne У1 = and Y = y' = A(t)y, · [ Y11 y2 = Y21 Y12 Y22 Y12 Y22

A: If y1=y11y21, y2=y12y22 are solutions of homogeneous system y'=A(t)y. And Y=Ay11y12y21y22. (a) To…

Q: Consider the set W of 2 x 3 matrices with the given constraints. a {[} ·] : ª = 0 b 0 c d W = : a =…

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Q: 1. Define F(x) = f(t) dt, where f(t) is given by the graph below. Find F(12) – F 6 4 3 2 1 Y 1 2 3 4…

A: A graph of a real-valued function is given. One must find the said functional value. It requires the…

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Q: 2. Let G be the group of all real-valued functions on the unit interval [0, 1], where we define, for…

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Q: 3. Xx₁ -H 3 3 3 2 4

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Q: Given the inner product space of polynomials with real coefficients, degree ≤n_(P₁(R),+,,°), where,…

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Q: 41. The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: Given, The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. We…