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Prove Theorem 6:
a. Suppose p is a solution of Ax = b, so that Ap = b. Let vh be any solution of the homogeneous equation Ax = 0, and let w = p C vh. Show that w is a solution of Ax = b.
b. Let w be any solution of Ax = b, and define vh = w - p. Show that vh is a solution of Ax = 0. This shows that every solution of Ax = b has the form w = p + vh, with p a particular solution of Ax = b and vh a solution of Ax = 0.
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
A stone is tossed vertically upward with an initial velocity of 30 ft/s from the top of a 40 ft building. What is the height of the stone after 0.21 s?
find the least calue of n such that the probability of at least r light(s) having to be replaced over a period of n days, exceeds 0.9999 where
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
Give an explanation which theory is better about why Giza pyramid was built?
How much of his annual salary will be left, after he makes his perpetuity investment - what will be the size of his first payment?
which of the following cereals is the best to buy
Suppose that for a particular person enrolled in a typing class, Sketch a graph of the function f, including any vertical or horizontal asymptotes.
water is leaking out of an inverted conical tank. the tank has a height of 6 meters and the diameter at the top is 4 meters. write the volume of the tank as a function of its height h of the water.
Let G be the graph with vertex set Z n 2 (the same as the n-cube), and with edge set de?ned as follows: {u, v} is an edge of G if u and v in exactly two coordinates (i.e., if ?(u, v) = 2). What are the eigenvalues of G?
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
Find the value of the discriminant and give the number of real solutions.
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