matrix analysis question, please show clear ,thanks hint: This means that you need to find a matrix Q such that QDQ^T = A, where Q is orthogonal and D is a diagonal matrix.

Q: Suppose that production of 1 unit of mining requires 5/7 unit of mining, 1/7 unit of manufacturing,…

A: Given that the production of 1 unit of mining requires 5/7 unit of mining, 1/7 unit of…

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: Problem 1: Determine whether the following sets form subspaces of R². a. {(X1, X2)T|X1 + X2 = 0} ->…

A: A subset S of a vector space V is a subspace of V if    Given u, v vectors in S, and scalars a, b,…

Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: A sphere of radius 1 is x2 + y2 + z2 = 1. Parametrize the sphere as follows:…

Q: Given the following function f: N× N→N, f(m,n)=2"-¹(2n-1), determine if it is onto or one-to-one.

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Q: The length s of a shadow cast by a vertical gnomon (a device used to tell time) of height h when the…

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Q: Use the Midpoint Rule for the triple integral to estimate the value of the integral. Divide B into…

A: X Y Z ln(1+4x+5y+z) f(x,y,z) 1 2 1 2.772588722 0.36067376 1 2 3 2.890371758 0.345976256 1 6 1…

Q: Let a(0)= 1, and let a(n+1) = 3a(n+2) for all integers n ≥ 0. Prove that a(n) = 2 • 3(n)-1 for all…

A: We will use mathematical induction to prove that a(n) = 2 • 3(n)-1 for all integers n ≥ 0. Base…

Q: rice,p, it can charge per shirt. In particular, historical data shows that 6000 shirts can be sold…

A: The solution is given by

Q: An artist travels to craft fairs all summer long. She must book her booth at a June craft show six…

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Q: Find the eigenvalues of the matrix. 0 0 0 0-1 -5 0 0 3 The eigenvalue(s) of the matrix is/are (Use a…

A: Our objective is given below:

Q: The differential equation for the velocity "v" of a falling mass "m" subjected to air resistance…

A: Here we have to find the function v(t) , terminal velocity and s(t).

Q: Let M= Find formulas for the entries of M", where n is a positive integer (Your formulas should not…

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Q: 3. Find the solution of the differential equation; x(e2y-1)dx-(ev+x²ey)dy=0

A: The given problem is to find the solution for the given differential equation. Given differential…

Q: 1. Evaluate the surface integral SS² where S is the portion of the plane z = 2x + 3y above the…

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Q: geneous equations to solve the following differential equation. ) dy=0 plict solution in the form…

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Q: R is a relation on the set of positive integers such that xRy iff log base 2 (x/y) is an integer. Is…

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Q: y" + a²y sin ax.

A: 17) The differential equation y''+a2y=sin(ax) By using inverse operator method to find the general…

Q: 1001 0 111011 101100 010100 Suppose the above adjacency matrix identifies the network in a small…

A: The given adjacency matrix is 001110000101100110111011101100010100 of the graph with nodes a, b, c,…

Q: Using variation of parameters, solve the differential equation y" + 3y + 2y = sin(e*). (Hint: [ e²*…

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Q: 4. Suppose sin x = - a. 5 --and 270° < x < 360°. b. Find the exact value of sin. No decimal answers!…

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Q: 2t : Evaluate the integral [ de 0 3+ cos(0)

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Q: Use the PMI to prove that for i = √-1 EC and kEN (cose + isine) = cos k0+isin k0, k≥ 2.

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Q: 9. y'"y" 2x³.

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Q: Find the volume under the surface f(x, y) = arctan (²) the region in the first quadrant bounded by…

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Q: (a) f(x) = 3x² +5 (b) f(x) = x³ + x + 1 (c) f(x) = x x+1 1 " x-1

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Q: Find the mass of a wire in the shape of a circle of radius 2 centered at (7, 8) with linear mass…

A: The calculus helps in understanding the changes between values that are related by a function.…

Q: Let T be the function T: R³ R2 given by + (1)-[*] (ED) T (a) Show that T is a linear transformation.…

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Q: can you rewrite this neater

A: As per student guidelines,  we have to just rewrite the given answer neatly.

Q: Determine the conic section created with the equation 2x^(2)+4xy+5y^(2)+3x-4y-20=0.

A: Equation :2x2+4xy+5y2+3x-4y-20=0

Q: 3x2 10x1 2x1 -X1 + 11x2 - - X3 + 84 2x3 X2 + X2 + 10x3 X4 X3 + 3x4 - Solve the unknown variables…

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Q: Let f(x) be a function of single variable whose graph y = f(x) looks like so: x I am not concerned…

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Q: tanx = tan x. Hint: Work on the left hand side and 1+cotx LEGE Verify convert everything to sines…

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Q: Let A ∈ Mn(R) be a matrix with nonnegative entries. Moreover, suppose that in any row, the sum of…

A: We have given that  A ∈ M_n(R) so A is of order n. We first Assume that A be a general matrix of…

Q: What is the shape function N₁ of the below 2D element?

A: We have given an graph which represent the shape function for the domain. To write the shape…

Q: Demonstrate the use of the method with reflections on the use of numerical methods,find the minimum…

A: Given equation is f(x, y)=Ax2-Bxy-Cy2+x-y Where A=2            B=-2            C=1…

Q: Evaluate the indefinite integral -6x³3x² + 442 x + 690 |-6 a x²-x-72 Use a lower case c to denote…

A: x2-x-72=x2-9x+8x-72=(x-9)(x+8) Since the numerator is polynomial of 3 degree and the denominator…

Q: In each of the following boxes, write the numerical value of the corresponding term of the sequence…

A: The generating function of the given sequence ak is ax=13x4-1.

Q: 1. The table below gives the number of hours a student spent studying for a test and their grade.…

A: The data corresponds to the number of hours a student has studied and the grades received. Hours…

Q: Find the PDE type and determine characteristic curves. 32u azu a u +4- +4 ?х2 ?х у ду2

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Q: The reaction rate to a new drug is given by the following function where t is time (in hours) after…

A: The function is given by y=e-t2+7t+7.

Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

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Q: Anabelle, Bryan, and Carl are playing a game using sticks of gum. For each round of the game,…

A: Let A represents Anabelle, B represents Bryan and C represents Carl. After one round of the game: A…

Q: Integrate. z³ + 2 sin z -dz. C the boundary of the square with vertices +3, + 3¡ counterclockwise.…

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Q: Predict whether the correlation coefficient for each pair of the given variables is close to 1, 1,…

A: The diameter of a tree's trunk increases with age, as we all know. This leads us to the conclusion…

Q: (a) PDE Using Lagrange's method, or otherwise, find the general solution of the 1 y2zy Then solve…

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 5x² + 6x² − 2x²3 - 12x₁x2 + 6×₁×3 −…

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Q: Find the distance between A and B on the number line below. A ++ ++ + -12-11-10 9 8 7 6 5 4 3 -2 -1…

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Q: Let v = 4zk be the velocity field (in meters per second) of a fluid in R³. Calculate the flow rate…

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Q: Let f(x, y, z)=²—4y². (a) Describe the domain of f. (b) Describe the level surface f(x, y, z) = 2.…

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