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Provide a glimpse of some widely used matrix factorizations, some of which are discussed later in the text.(Spectral Factorization) Suppose a 3 X 3 matrix A admits a factorization as A = PDP-1, where P is some invertible 3 X 3 matrix and D is the diagonal matrix
Show that this factorization is useful when computing high powers of A. Find fairly simple formulas for A2, A3, and Ak (k a positive integer), using P and the entries in D.
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
How much (to the nearest dollar) will they receive?
1. show that y2e5x4x is a solution to the differential equation y-5y4-20x2. determine eventual max min and saddle
what is the lenght and width of a rectangle if the length is 100 feet more than the width and the perimiter is 1320 feet?
Calculate the horizontal velocity of the cyclist at time t; this is the function x'(t). What is the horizontal velocity if θ = 20o? What is the horizontal velocity if θ = 45o?
a saw mill runs for three 4-hour days per shift. it produces 500 2x4s per hour which are divided into 50 piece bundles
what is the lcm of one half three fifths two sevenths and five
a man invests 20000at an annual interest rate of 7%, and 12000 at an annual interest rate of 7.5%. what was his annual income in the two investments?
what is jason's rule for the numbers in his number sequence? explain how you found your answer.
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
The valve is 25 cm on each side. The valve can withstand an average pressure of 1000 N/cm2. At what depth should the valve be placed below the top of the reservoir?
Seventy five percent of the students grading from high school in a small farm town attend college. The towns Chamber of Commerce randomly slecets 30 recent graduates and determines whether or not they will attend college.
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