Linear Algebra
DQ 1: The determinant has many nice properties. Two are:
- det(AB) = det(A)det(B)
- A is singular if det(A) = 0
Use this to argue that AB is singular if A is singular or B is singular.
(Please answer it with 135 words and one example, one reference)
DQ 2: Which of the following are true? Justify your answer.
- If A is singular, then adj(A) is singular.
- If adj(A) is singular, then A is singular.
- If A is not singular, then adj(A) is not singular.
- A is singular if adj(A) is singular.