Let T be a normal operator on a finite-dimensional inner product space. Prove that if T is a projection, then T is also an orthogonal projection.

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Q: Problem 6. Let B and C be the matrices given by 0 0 1 1 0 0 C = -1 0 -1 0 1 6.1. Find a basis for th...

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A: For (a),       h = (-2.69/3), 3 is the radius. So,   

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Q: Is it possible for φ(n) (the Euler's totient function) to be bigger than n?

A: The objective is to find the possibility (if any) for φ(n) (the Euler's totient function) to be bigg...

Q: SECTION 3.1 PROBLEMS In each of Problems 1 through 5, use Table 3.1 to determine the Laplace transfo...

A: Since there are multiple question the first question is answered. Kindly repost if any particular qu...

Q: Find the sum of the even numbers from 84 to 196, inclusive.

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Q: Show that the vectors i - j, j - k, k - i are parallel to a plane.

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Q: A wall is 500 sq. feet. A gallon of paint covers 160 sq. feet. What is an appropriate conversion fac...

A: Consider the provided question, Given, a wall is 500 sq. feet and a gallon of paint covers 160 sq. f...

Q: A ternary string is a sequence of 0's, 1's and 2's. Just like a bit string, but with three symbols. ...

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Q: sketch the solid that has the given description in spherical coordinates. 0 ≤ θ ≤ 2π, π/4 ≤ ϕ ≤ π/2,...

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Q: Differential equations help please and thank you. Find the Fourier transforms of  f(x)= {ex    when ...

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Q: 8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x can...

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Q: At the start of a year, company XYZ's stock is $40 per share. At the end, the company's stock is $60...

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Q: Compute the Laplace transform Lf (s) of the function f (x) = x2eαx for s > α.

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Q: Solve the given differential equation. All solutions should be found. (9y8 + 2x7y) dx – (8xy7 + x³ )...

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Q: 1. Suppose we build an LFSR machine that works mod 3 instead of mod 2. It uses a recurrence of lengt...

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Q: 34+76

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Q: use the error bound to find a value of N for which Error(SN) ≤ 10−9.

A: Consider the provided question,

Q: compute the given approximation to the integral.

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Q: Find the second-order Taylor approximation for f(x,y) = 1/(xy) at (1,2).

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Q: How can you tell if a set of data is describing an exponential relationship? Which one is it? Con...

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Q: Find y as a function of t if 5y′′+31y=0 y(0)=4,y′(0)=7y(t)=

A: The given differential equation is  5y''+31y=0   ......(1) and the initial condition is y(0)=4 and y...

Q: Number theory.

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Q: Question #12.9 from the image. Differential Equations

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Q: The cost of one case of Tiles is 17$. How much would it cost to tile the floor? Each tile is 9/16 ft...

A: Here, area covered by 1 tile = 9/16 ft square.

Q: P. Manufacturing A conveyor belt 12 in. wide is moving at a linear speed of 120 ft/min. The belt is ...

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Q: The general solution to the second-order differential equation d^2y/dt^2−2dy/dt+10y=0 is in the form...

A: For the given differential equation the lagarange auxillary equation can be written as:

Q: I'm confused how to work this practice problem. It says: Use the method for solving homogeneous equa...

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