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a. Fill in the blank in the following statement: "If A is an m X n matrix, then the columns of A are linearly independent if and only if A has pivot columns."
b. Explain why the statement in (a) is true.
Determine the sample size needed to estimate (lower case mu / mean of a random variable) for the given situation. E = 4, standard deviation = 35, level of confidence = .90
If a 90% confidence interval for the true mean wingspan for all dragonflies is calculated, do you expect this interval be wider or narrower than the interval obtained in part (a)? Why?
y'' + xy' + 2y = 0 X0=0 a) Seek power series solutions of the given differential equation about the given point X0;find the recurrence relation. b) Find the four first terms in each of two solutions Y1 and Y2 (unlessthe series terminates sooner).
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
1. when computing a confidence interval as n inncreases does the ci get wider or narrower? why one sentence?2. when you
In addition, you have calculated the standard deviations of the two groups that are 9 cm for the group without music and 11 cm for the group with music. As the importance of this study is crucial for the future of the music world, you set your sig..
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
Find the equation of the plane tangent to the surface z =9 - x2 - y2 at (1, 2, 4). Graph both the part of the surface including the point and the tangent plane over the rectangle [0, 3] X [0, 3]
The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time.
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
many companies that manufacture lightbulbs advertise their 60-watt bulbs as having an average burn time of 1000 hours.
A computer store has 10 copies of a word processing program, 12 copies of a spreadsheet program, and 8 copies of a draw program. Three of the word processing, four of the spreadsheet and two of the draw programs are infected with a computer virus.
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