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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.
Consider the regression model Y i = a + bX i + u i , where the X i are non-stochastic and the u i are independently and identically distributed with E[u i ] = 0 and va
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Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Example: Joanne is given a four-question multiple-choice quiz. She hasnt studied the material to be quizzed, so she decides to answer the questions by randomly guessing the answe
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