MATH-2070U-Midterm-a-Solutions - Exam solutions(Yellow...

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MATH 2070U Midterm examination Page 3 of 7 1. [8 marks] Write in the space provided the output you would expect in an interactive M ATLAB session as a result of entering the given statements. For numerical values returned, assume format short , i.e., numerical values displayed rounded to 5 decimal digits. Where appropriate, be sure to distinguish row and column vectors. If the expression fails to evaluate, write ERROR with a short comment explaining the error. Assume the following statements have been executed, so the variables A , B , C , and D are available in the M ATLAB workspace. A = [7,4; -2,6]; B = [4,8;1,5]; C = [4,-8;7,9;6,8]; D = [-2,6,-3;-2,1,-3]; (a) A./B.ˆ2 (a) (b) 2 * B * C [ 7 4 A = [ [ -2 6 [ 4 8 B = [ [ 1 5 [ 4 -8 [ C = [ 7 9 [ [ 6 8 [ -2 6 -3 ] D = [ [ -2 1 -3 ] Here, we have to observe order of operations: ^ has higher precedence than / (division), so we interpret this as A./(B.^2) (rather than (A./B).^2 which has a different numerical value). [ 7/16 1/16 A./B.^2 = [ [ -2 6/25 ] ] ] ] ] ] ] ] ] ] ] ] ] ] ]
(b)

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