If A is a diagonal matrix, its determinant is the product of its diagonal entries, and its inverse is obtained by taking the reciprocals of the diagonal entries. Find det A and K(A) if

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 2. For each problem, sketch the constraint curve g(x,y) = C along with a contour diagram for f(x,y).…

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

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A: To solve this problem you need to know the following : 1 yard = 3 foot .

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Q: ] Prove that a nonempty closed subset of R, if it is bounded from below, has a least element.

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Q: A 6 6. 6.

A: We have to find the diagonal matrix if possible.

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Q: Consider the system x' = -1 -1 X. - a Solve the system for a = 1.1. What are the eigenvalues of the…

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

Q: 4. 4x+5y=2 and 3x+4y=1 "=+14 – 5 - 3 4] ans.A |

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Q: = (-1)k-1 (k – 1)! (k 2 1) 1. (a) Find the Taylor series of In(x) about a for a > 0. Your answer…

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

Q: 12. f(x) = 4 – x

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

Q: 4. Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Let the region be bounded by the curves y= 3 /x and y = 9, and x= 36. i) ( )Draw this bounded region…

A: We have to find the volume of region.

Q: Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O S is a basis for R3,…

A: Note: A set of vectors is linearly independent if the determinant of the matrix with the columns…

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Q: Determine whether the sequence converges or diverges 1+(-1)" а. An n2 b. an =(1 -3zn) 3n.

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

Q: 5. Draw a phase line for the autonomous differential cquation and label cach cquilibrium point as a…

A: Note: Critical points of a differential equation x'=f(x) is given by f(x) = 0.

Q: An RLC circuit is modeled using the differential equation below with initial value i(n) = 20 t?i' +…

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Q: Suppose that E is a measurable set and that f(x)=d for all x∈E. That is, f is a constant function on…

A: Given that E is a measurable set and that fx=d for all x∈E. That is, f is a constant function on E.

Q: 3. Let W be defined as x + 4y + 5z 2x – y + z Зх + 3у + 62 6х + 6у + 122, W = |x, y, z E R (i) Show…

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Q: Let W=Fcw)+9(v) where u= Xtiy and V=X-iy, show that w Satis fies the Laplace egr Wxxt Wyy=o…

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Q: In the following problem, begin by drawing a diagram that shows the relations among the variables. w…

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Q: 7.C.1: Prove or give a counterexample: If TE£(V) is self-adjoint and there exists an orthonormal…

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Q: What is the factor of 9x³-1?

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Q: 26. р > (qvr) qvr

A: 26.       p -> (q v r) ≡~p v (q v r) = F1       p = F2.        Resolution between F1 & F2…

Q: 1. Find the real eigenvalues of each matrix below. -2] (a) 3 (b) 0 -1 -4 2. Find h in the matrix A…

A: Follow the answer below.

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Q: 3. Let f(r) = 1+r+ +r* + '+r". "ind T3(r), the Taylor polynomial of f at r 0 with degree 3 by using…

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Q: 1) degree 2, leading coefficient 5, extending from quadrant III to IV 2). 2 turning points,…

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Q: 2. For each of the following relations on the set {1,3,4, 7}. • R1 = {(7, 7), (1, 1), (4, 4), (3,…

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Q: 2.~rw 4. (CAh)→-1 - (CAh) 6. ~j→-(sv~ p) - (sv p)

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