For simplicity, suppose there are five students in a class. Suppose the scores of these students on three tests are as follows. Student Test 1 Test 2 Test 3 A 80 84 92 B 82 84 86 C 78 76 84 D 86 82 76 E 92 94 88 (a) Write a 5 × 3 matrix A to represent the information. A =                                                                                               (b) What are a11, a12, and a13? a11  =    a12  =    a13  =    What is  1 3(a11 + a12 + a13)?  (Round your answer to one decimal place.) What does this quantity represent? average test scores for the second testaverage test scores for the first, second, and third tests    student A's average test scorestudent E's average test scorethe class's average test score for all tests (c) What are a12, a22, a32, a42, and a52? a12  =    a22  =    a32  =    a42  =    a52  =    What is  1 5(a12 + a22 + a32 + a42 + a52)? What does this quantity represent? average test scores for the second testaverage test scores for the first, second, and third tests    student A's average test scorestudent E's average test scorethe class's average test score for all tests

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