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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.
3x+y=9 5x-y=7
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Compute the dot product for each of the subsequent equation (a) v → = 5i → - 8j → , w → = i → + 2j → (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →
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Megan bought x pounds of coffee in which cost $3 per pound and 18 pounds of coffee at $2.50 per pound for the company picnic. Find out the total number of pounds of coffee purchase
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