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sample_midterm1.pdf - NAME STUDENT ID AMS210.01 SAMPLE...

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NAME _______________________ STUDENT ID # _____________________ AMS210.01 Yan Yu, [email protected] 1 AMS210.01 SAMPLE MIDTERM 1 February 15, 2018 Show all work to receive full credit. 1) Let 9 7 5 3 8 6 4 2 4 3 2 1 ~ A 1 1 0 0 2 2 1 0 1 ~ B 3 1 0 1 2 3 2 0 1 1 4 5 ~ C Perform the following multiplications if possible. If not possible, please indicate that it is not possible: a) ~ ~ B A b) ~ ~ A B c) ~ ~ A C d) ~ ~ B C e) ~ ~ A A 2) Suppose that we are given the following matrices involving the costs of fruits at different stores, the amounts of fruit different types of people want, and the numbers of people of different types in different towns. 10 . 10 . 20 . 15 . 15 . 10 . Pear Orange Apple StoreB StoreA 5 5 4 3 10 5 PersonB PersonA Pear Orange Apple 1000 2000 2 500 1000 1 Town Town PersonB PersonA a) What matrix product tells how many each fruit will be purchased in each town. b) Compute the matrix and label it appropriately.
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NAME _______________________ STUDENT ID # _____________________ AMS210.01
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