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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.
State the null and alternative hypotheses
Evaluate the given expression and Perform the indicated operation - Evaluate -2x 4 - 3x 2 + 5x - 9 for x = 2.
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
Solving problem on distributive Laws
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
Solving probability problems based on Binomial distribution
Find the probability that the first card is a king and the second card is a queen.
Evaluate the sequence generated by generating functions
Please DO NOT USE Euler's function. You can only use Fermat's Little theorem if needed.
Parke-Davis data: A group of 100 people were in a study involved treatment with Lipitor. Unbeknownst to the subjects, some of them were given Liptor and some were given placebo (sugar pill) as shown in the table.
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