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Assume A - sIn is invertible and view (8) as a system of two matrix equations. Solve the top equation for x and substitute into the bottom equation. The result is an equation of the form W (s) u = y, where W (s) is a matrix that depends on s. W (s) is called the transfer function of the system because it transforms the input u into the output y. Find W (s) and describe how it is related to the partitioned system matrix on the left side of (8). See Exercise 16.
Exercise 16Let A =
If A11 is invertible, then the matrix S = A22 - A21-1 A11 A12 is called the Schur complement of A11. Likewise, if A22 is invertible, the matrix A11 A12 - A-122 A21 is called the Schur complement of A22. Suppose A11 is invertible. Find X and Y such that
the altitude hin ft of a jet that goes into a dive and then again turns upward is given byht16t3-240t210000where t is
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
find the equation of the line that is perpendicular to x+5y=-3 and taht passes through (-2,-1). Express your answer in stanard form.
The surface areas of two similar solids are 311 ft2 and 1,037 ft2. The volume of the larger solid is 1,755 ft3. What is the volume of the smaller solid?
1.) find the volume of the solid generated by revolving the region enclosed by the graphs of y=e^(x/4), y=1, and x=ln8, about the x axis 2.) find the surface area of the solid generated by revolving y=√(x+6), 0≤x≤3 about the x axis.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
Find the absolute maximum and absolute minimum values of the function f(x)= ((x^3)/3)-5x^(2)+24x on the interval[-3,10]
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
The cost, in millions of dollars, to remove x % of pollution in a lake modeled by
How many employees by type does the clinic currently need? How many employees by type will the clinic need if it signs the contract for pre-employment physicals
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