Solution Found!
Let A and B be n n matrices. a. Suppose A (or B) is nonsingular. Prove that the
Chapter 6, Problem 16(choose chapter or problem)
QUESTION:
Let A and B be n n matrices. a. Suppose A (or B) is nonsingular. Prove that the characteristic polynomials of AB and BA are equal. b. (more challenging) Prove the result of part a when both A and B are singular.
Questions & Answers
QUESTION:
Let A and B be n n matrices. a. Suppose A (or B) is nonsingular. Prove that the characteristic polynomials of AB and BA are equal. b. (more challenging) Prove the result of part a when both A and B are singular.
ANSWER:Step 1 of 6
Singular or degenerate matrices are square matrices that are not invertible. If and only if the determinant of a square matrix is , it is singular.