A teacher has given four tests to a class of five students and stored the results in the following matrix: Tests 1 3 4 Ann 78 84 81 86 Bob 91 65 84 92 Carol 95 90 92 91 = M Dan 75 82 87 91 Eric 83 88 81 76 Discuss methods of matrix multiplication that the teacher can use to obtain the information indicated below. In each case, state the matrices to be used and then perform the necessary operations. (A) The average on all four tests for each student, assuming that all four tests are given equal weight (B) The average on all four tests for each student, assuming that the first three tests are given equal weight and the fourth is given twice this weight (C) The class average on each of the four tests

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