Problem 1E: In Exercises 1-6, list the minor matrix Mij, and calculate the cofactor Aij=(1)i+jdet(Mij) for the... Problem 2E: In Exercises 1-6, list the minor matrix Mij, and calculate the cofactor Aij=(1)i+jdet(Mij) for the... Problem 3E Problem 4E: In Exercises 1-6, list the minor matrix Mij, and calculate the cofactor Aij=(1)i+jdet(Mij) for the... Problem 5E Problem 6E: In Exercises 1-6, list the minor matrix Mij, and calculate the cofactor Aij=(1)i+jdet(Mij) for the... Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E: In Exercises 8-19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the... Problem 13E Problem 14E: In Exercises 8-19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the... Problem 15E: In Exercises 8-19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the... Problem 16E: In Exercises 8-19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the... Problem 17E Problem 18E: In Exercises 8-19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the... Problem 19E Problem 20E: Let A=(aij) be a given (33) matrix. Form the associated (35) matrix B shown next: aSubtract the sum... Problem 21E: In Exercises 21 and 22, find all ordered pairs (x,y) such that A is singular. A=[xy1231011] Problem 22E: In Exercises 21 and 22, find all ordered pairs (x,y) such that A is singular. A=[x1121101y] Problem 23E: Let A=(aij) be the (nn) matrix specified thus: aij=d for i=j and aij=1 for ij. For n=2,3,and4, show... Problem 24E: Let A and B be (nn) matrices. Use Theorems 2 and 3 to give a quick proof of each of the following.... Problem 25E: Suppose that A is a (nn) nonsingular matrix, and recall that det(I)=1, where I is the (nn) identity... Problem 26E Problem 27E: In Exercises 27-30, use Theorem 2 and Exercise 25 to evaluate the given determinant, where A and B... Problem 28E: In Exercises 27-30, use Theorem 2 and Exercise 25 to evaluate the given determinant, where A and B... Problem 29E: In Exercises 27-30, use Theorem 2 and Exercise 25 to evaluate the given determinant, where A and B... Problem 30E: In Exercises 27-30, use Theorem 2 and Exercise 25 to evaluate the given determinant, where A and B... Problem 31E: a Let A be an (nn) matrix. If n=3, det(A) can be found by evaluating three (22) determinants. If... Problem 32E Problem 33E Problem 34E format_list_bulleted