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(a) Show that for all idempotent matrices B that either |B| = 1 or B is singular.
(b) Consider the matrix A= [a b]
b a
where a and b are constants. Find all pairs (a, b) such that A is idempotent.
(c) For each pair (a, b) obtained in (b) determine whether A falls into the category of |A| = 1 or A being singular
The perimeter of a rectangle is 56 feet. Describe the possible lenghts of a side if the area of the rectangle is not to exceed 115 square feet.
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The marketing research department for a company that manufactures and sells computers established the following price function : p(x)=2200-55x
GAME SHOWS In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E.
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The time required to assemble a component follows triangular distribution with a = 10 seconds and c 25 seconds. The median is 15 seconds.
A child with an ear infection is given a 200-mg ampicillin tablet once every four hours. About 12% of the drug in the body at the start of a four-hour period is still there at the end of that period. Calculate the quantity of ampicillin in the body r..
A sinusoid of known frequency ?0 is observed in the presence of an additive WGN V (n) with zero mean and variance s2. The observations can be expressed.
Test the hypothesis that male employees have a higher monthly income than female employees. Use significance level of 0.01 Five steps to solved the questions, with TI-84 calculator.
Suppose that 56% of the voters in a state intend to vote for a certain candidate. What is the probability that a survey polling six people reveals that three or fewer intend to vote for that candidate? (Round your answer to 4 decimal places.)
A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is x feet from the house. Find the value of x to one decimal place.
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