Which of the following statements is/are true?
1
The product of Eigen values of an upper triangular matrix equals the product of its diagonal elements
2
There exist n × n matrices A and B such that AB = In and such that BA ≠ In
3
If A and B are similar matrices (i.e. there exists an invertible matrix Q such that A = QBQ-1), then det (A) = det (B)
4
Let A be an n × n invertible matrix. Then rows of A are linearly independnet