MATH 304 Midterm: MATH 304 Binghamton Math304 Fall2018 Exam3 Practice Problems

• School: Binghamton University
• Department: Mathematical Science
• Course: MATH 304
• Professor: All

Document Summary

Practice problems (2018-1116) for exam 3, math 304. Compute the determinants of the following square matrices: Problem 2: 21 points = 7 times 3 points (a) if a and b and c are square matrices of the same size such that det(a) = 12, det(b) = 4 and. 4 is such that we have aij = i j for all i, j {1, 2, 3, 4}, find det(a). Problem 3: 12 points =4 times 3 points. Let c be the matrix who rows are: row1(c) = Row3(b), row2(c) = row1(b) row2(b), row3(c) = 2row1(b) + row2(b), row4(c) = row4(b). Then det(c) is (c) let d be a matrix of size 7 7. F = 2e, then the characteristic polynomial pf (x) of f is Problem 4: 14 points = 7 times 2 points. Fill in the dotted part of each one of the below seven sentences with one of the following three capital letters, whose meanings are described as follows: