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(a) Assume that A is a m1×m2 matrix and B is a m2×m3 matrix. How many multiplications are required to calculate the matrix product AB?
(b) Given that A1 is a 20 × 50 matrix, A2 is a 50 × 10 matrix and A3 is a 10 × 40 matrix. What are the dimensions of the matrix product A1A2A3? What is the most effcient way (least number of multiplications) to calculate the matrix product A1A2A3? (A1A2)A3 or A1(A2A3)? Give a reason for your answer.
Classical Probability Consider the experiment of tossing a single coin. Two outcomes are possible, viz. obtaining a head or obtaining a tail. The probability that it is a tail
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Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using
Brewery has 12 oz bottle filling machines. Amount poured by machine is normal distribution mean 12.39 oz SD 0.04 oz. Company is interested in in reducing the amount of extra beer
Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco
A manufacturer assures his customers that the probability of having defective item is as 0.005. A sample of 1000 items was inspected. Determine the probabilities of having the give
Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti
WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357
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