math
posted by ..mathlogic .
how do i find the index of a nilpotent matrix??..

Hmm. I don't know of any "formula" as such. You know that an NxN matrix will have index <= N, so just start multiplying. You'll have at most N1 multiplications.

but what if N is a huge number...is there any logic to make the process simpler?
Respond to this Question
Similar Questions

math
Show that if x is a nonzero column vector in R^n, then the nxn matrix: A = I  2/x^2 * xx^T is orthogonal. Notation key: x = norm of x x^T = transpose of x I = identity matrix. Let me try to convince a math student to use "physics" … 
math,algebra II
I have to work with these types of problems dealing with matrises can someone show me how to solve them.Heres one of them: Directions: Find the values of the variables in each equation in the first matrix it looks like this a+2 3z+1 … 
math
Hello tutors by any chance is there anyone who can assit me with theprevious problems that i posted..dealing with math subject Here is a website explaining how to invert a 3x3 matrix. http://www.everything2.com/index.pl? 
math
I need help with this one... Thanks!!!! Prove the following statement: When you add the identity matrix to a nilpotent matrix it is invertible. 
MATHSMatrix
For a given square matrix A the predicted values of matrix B are: predicted B=A(A'A)^(1)A'B why is the matrix C=A(A'A)^(1)A' an idempotent and symmetric matrix? 
AlgebraMatrix
How would I do these Matrices? 1. 1/2 14 10 8 2, Let matrix A = [8 2 4 7 ] Let matrix B = 2A, Find b_22 
matric
Let matrix p= [6 4] 1 0 If where a and b are real numbers, I is a identity matrix and 0 is a null matrix, find a and b. 
math
This is a matrix question. R is the matrix (3r 1) (s 2s) 1. State, in terms of s and r the determinant of R 2. If r=1/3 and s=4 determine the inverse of R 3.State the pair of r and s not including 0, which would make the matrix R a … 
math
This is a matrix question. R is the matrix (3r 1) (s 2s) 1. State, in terms of s and r the determinant of R 2. If r=1/3 and s=4 determine the inverse of R 3.State the pair of r and s not including 0, which would make the matrix R a … 
Math
Hi! I need help with these two questions. Thanks! :) 1.) Can we multiply the Matrix A (which is 3 x 4 matrix) by the other matrix, Matrix B (which is 3 x 4 matrix)?