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IdempotentA linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r and L(aj) = 0v for j= r+1,...,n, where r= p(L). Describe the matrix representing L with respect to the basis S.
Explain why a decision maker might feel uncomfortable with the expected value approach, and decide to use a non-probabilistic approach even when probabilities are available.
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
Application of algebra to find the weekly revenue - Evaluate the weekly revenue if the price is $8 for each football.
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
Find the test value for two population variances
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
At a 5 percent level of significance, test to see if there is a significant difference in the average amount spent at the two schools. Write your conclusion?
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Determine the number X for the given table and evaluate the number x so that the preceding independence relations hold.
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
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