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Question: Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2n)n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1)AS is diagonal.
Solving problems conditional probability
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
Find the test statistic
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
Trigonometric formulas and identities.
Calculate the value of the sample test statistic
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
Find the probability of an alarm.
Objective questions on regression
Evaluate the speed of the cyclist algebraically and Find the height of the ball drop and the time taken to reach the ground.
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