Wiwat Wanicharpichat

4 Questions 199 Answers 0 Followers

Questions related from Wiwat Wanicharpichat

What is the Moore-Penrose inverse, or the group inverse of a product matrices which one matrix is invertible and another one is noninvertible?

Let A, B ∈ ℂn×n where A is an invertible matrix (and A⁻¹ ≠ AT), but B is a noninvertible. Let C = AB. What is C†? (C† is the Moore-Penrose inverse of C). Suppose that rank C = rank C². What is C#?...

07 July 2016 1,875 20 View

Does anyone know about the explicit formula of determinant of tridiagonal matrix?

We know the formula of determinant of every tridiagonal matrix in continued fraction form via LU factorization of the matrix. Does anyone know about the explicit formula of determinant of...

12 December 2015 5,003 9 View

What are the necessary and sufficient conditions for a matrix to be tripotent?

We know the necessary and sufficient conditions for a matrix to be idempotent, that is, a square matrix A is idempotent if and only if ker(A) = Im(I - A). Does anyone know about the necessary and...

12 December 2015 2,580 7 View

Why some property of two isomorphic cyclic matrix groups are different?

It is well-known that any two cyclic groups of the same order (number of elements) are isomorphic. Consider two cyclic matrix group, one group generated by 3 by 3 matrix, namely A = [0,...

02 February 2015 3,417 8 View