Let A || 9 3 -13 -4 0 0 -5 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue.

Q: The total body surface area, or BSA, of a human is difficult to calculate. There are various models…

A:

Q: If you had to compute the numerical value for (1/(10^(1/5)) with accuracy up to 12 decimal points,…

A: Let, now derivatives, Newton iteration formula:Here, X01f(x)-0.10.9Here and therefore, the root…

Q: Expand the given set to form a basis for R³. (IC) BO

A: Given set  We have to expand the basis for

Q: 1. Find the Taylor or Laurent expansion of the following functions at zo = 1 Z (1) z²-2z+5² (2) Z…

A:

Q: = 1. Compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sint, 1) on…

A: We have to compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sint,…

Q: ΣΧ = 120, ΣΥ = 367, ΣΧ2 = 3070, ΣΥ2 = 27517, ΣΧΥ = 9098 and n = 5. 1) The slope of the estimated…

A: Note: According to the guidelines we are allowed to solve three subpart at a time. Please post rest…

Q: Find the partition numbers of  f '(x).  (Enter your answers as a comma-separated list.)

A: .

Q: Given the subspace H a- -4b-2c 2a + 5b-4c -a +2c -3a+7b+6c a) Find a matrix A such that H = Col A.…

A: Given subspace is the following :Now for any reals  (say),a) Then So

Q: lim s n where s₁ = 1, and S n+1 = (1 – = -)Sn n+31 for n ≥ 1.

A: We first evaluate the first few values of the sequence

Q: Assume that the sequence shown below converges and find its limit. √3, √3+√3,√√3+√3+√3 √3+₁ " 3 +…

A:

Q: -X Given u (x,y) se cosy, show that 4 (X,Y) is an harmonic funiction and find the function VCX,y)…

A:

Q: Find the least-squares line given the matrix products ATA 608.4 5942.2 A¹b- = y = Ex: 1.2 +Ex: 1.2 €…

A: Let us to find a least square line for the set of values {(xi,yi):i=1,2,⋯,n}Let the equation of line…

Q: Explain with an example of a topological space which is singleton that is open but not close and…

A: Example in refer of not  open but closed .Take , Here A is singletone set which is closed but not…

Q: YouWhy is it 8×1/2 and not 8-1/2? Please explain. Thank you. Phi(8)=8(1-1/2).

A:

Q: Consider the group G={1,−1,i,−i} under multiplication, where i^2=−1. Determine the inverse of each…

A:

Q: Tove that S L { cosh at} = 35 ₁² s>lal > 5-a² 2

A: In this question, we will find the Laplace transformation.

Q: Which of the following would form an equivalent relation? Given the set of people in the world, we…

A:

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: a) State the intersecton of an indexed family of sets.

A: According to guidelines we can do only first question thank you .we have to state the intersecton…

Q: Tim's gross pay is $1568. The amount of Social security deducted is 6.2% of gross pay. How much of…

A: Given that Tim's gross pay is $1568 and the amount of Social Security deducted is 6.2% of gross pay.

Q: 3y"-Gy'+6y by = = e sec x

A:

Q: Determine the completely factored form of Ax)-x³ +5x²-x-5. O a) (x+5)(x² + 1) b) (x+5)(x+1)(x-1) c)…

A: Determine the completely factored form of f(x) = x^(3) + 5 x^(2) - x -5

Q: 2. A cylindrical can with volume 60 c m³ is to be designed to minimize the amount of material on the…

A:

Q: 1. Use the extended Newton divided difference method to obtain a quartic polynomial that takes these…

A:

Q: Rewrite each of the sets described below in set builder notation.

A:

Q: The differential equation y"" + ay" +by" + cy' + dy = 0 has a solution y = -5test - 6e³t cos(2t) for…

A:

Q: Compute the work done by the vector field F(x, y) = (xy, x² + y²) when moving a particle…

A:

Q: rectangular domain R = [0, 3] × [0, 2]. Partition the domain into 6 squares of equal size and…

A:

Q: 1. Find all solutions of the congruence 5x+3x²+x+3 = 0 mod 30. You should do this by factoring the…

A: The congruence .To Find:Solution of the above congruence.

Q: Show that for every pair of sets X and Y, the sets X × Y and U {(x, y) | y ≤ Y} xEX are equal.

A:

Q: It is not always possible to construct by ruler and compass, a square equal in area to the area of a…

A:

Q: Solve the initial-value problem where f(t) = 2: -1; y' - y = f(t), y(0) = 1 0 ≤ t ≤1 t> 1 in the…

A: For given differential equation we have to find the solution using Laplace transformation.

Q: For the signal below, sketch the following signals O (g) (4-t) (h) x(1/4) -t -2≤t≤0 0≤t≤4 otherwise…

A:

Q: ∞ Write out the first few terms of the series Σ n=0 The first term is (-1)" 4 What is the series'…

A:

Q: A graph of -x³+4x²-3x-18 is shown. Use the graph to solve x² + 4x²-3x-1820. YA 20 -A 10 x³+4x²² 3-18…

A:

Q: The supply and demand equations of two interdependent commodities are Qs, = 4(P₁-1)-5. Qs₂ = P₁ -3.…

A:

Q: Problem #4: Suppose that a matrix A has characteristic polynomial p() = 24 - 32³ +62² 15. Consider…

A: (i). Given characteristic polynomial is p(λ)=λ4−3λ3+6λ2−15.If λ=2 is an eigenvalue of A then…

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 4 - 4…

A:

Q: 12. Briefly explain how the bisection method can be used to solve a nonlinear equation f(x) = 0, if…

A: In the above question, we need to explain the bisection method to find the roots of a nonlinear…

Q: Find a 3 x 3 matrix A that has eigenvalues λ = 0, 12, -12, with corresponding eigenvectors 400…

A: We have to find a  matrix that has eigenvalues , with the corresponding eigenvectorsWe know thatIf A…

Q: Show that (a + p)P = a (mod p2), where p is prime, and that, more generally, a = b (mod p) ⇒a= b…

A: To prove that (a+p)p≡ap(modp2), where p is a prime, it can use binomial expansion and Fermat's…

Q: Let x, y, z be (non-zero) vectors and suppose w = x - 3y + z. If z = x - 3y, then w = 00000 x+ Using…

A:

Q: Find the approximations Tn. Mn, and S, for n = 6 and 12. Then compute the corresponding errors ET,…

A: Thus, the integral value is 36.Let us assume..

Q: 18. Determine which of the following functions are one-to-one and which are onto. If the function is…

A:

Q: (b) Prove that Z/4Z is not a field.

A:

Q: In 1980, America's GDP per capita was approximately $30,000 (measured in today's dollars). How much…

A: According to the given data:America's GDP per capita in 1980  = $ 30,000America's GDP per capita in…

Q: Let R be a ring and let M be a free R-module with basis B. If N is any R-module and f: B→ N is any…

A: Let R be a ring and let M be a free R-module with basis B. If N is any R-module and is any mapping,…

Q: 6. Explain why a quadratic function needs to be in vertex form in order to determine the inverse.

A: A quadratic function is given.To Explain:Why does a quadratic function need to be in vertex form in…

Q: Find the orthogonal projection of y = W = Span U₁ = -2 3 Ex: 1.23 112 = 0 []} onto the subspace

A:

Q: Prove there is no real number a such that 28 + x6 + 1 = 2x³

A: The given equation .The aim is to prove the equation has no real solutions.