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If A is a an n x n matrix then det(A - sI) is an nth degree polynomial. The zeros of this polynomial are the eigen values for the system. So, to find the eigen values for a system means solving a polynomial equation. This is generally not too computationally difficult if n is kept small, but nothing says we have to keep n small.
For this prompt, first discuss all types of eigen values possible. That is, suppose s1, s2, s3, ..., sn is the complete list of solutions to the characteristic polynomial det(A - sI) = 0. (Note: the list includes all zeros of the polynomial, counting their repetition, if necessary.) Then answer: Is it possible for a system of linear first order differential equation to not have associated eigenvalues? Why or why not?
Finding the solution for the specified variable in the given equation and Solve: 3xy = wyz
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
A studebts tuition was $4180. A loan was obtained for 4/5 of the tuition. How much was the loan?
carolyn and kim are selling lemonade this summer. it cost .10 to make each cup of lemonade.they are going to sell each cup of lemonade for .25. what is the least number of cups of lemonade they need to collect $10 more than they spent?
Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
They guarantee to give you a 10% raise next month. Discuss this situation. Will your next month's salary stay the same? Explain your answer using an example.
A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
A random sample of 16 students showed aht the variance in the number of hours they spend studying for a final exam was 25 hours^2.
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
The problem is: Z = X COS Y - Y COS X-Find all of the first and second partial derivatives of this problem.
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