how do i find the index of a nilpotent matrix??..

  1. 👍 0
  2. 👎 0
  3. 👁 125
  1. 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 N-1 multiplications.

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. but what if N is a huge there any logic to make the process simpler?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

    asked by manny on September 5, 2007
  2. 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

    asked by mathstudent on January 13, 2007
  3. 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

    asked by jas on June 6, 2007
  4. science

    1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is

    asked by sunday on March 15, 2014
  5. Math

    Given the following matrix A, find an invertible matrix U so that UA is equal to the reduced row-echelon form of A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. A = 3 3

    asked by valarie on October 21, 2018
  6. 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)? True Or False? 2.) When we multiply the 6 x 3 matrix by the 3 x 1

    asked by Emily on March 26, 2015
  7. 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.

    asked by student on July 22, 2007
  8. math-matrices

    You are given the 2x2 matrix M= (k 3) , where k is not 2. (0 2) i)Find the eigenvalues of M, and the corresponding eigenvectos. ii)Express M in the form UDU^(-1), where D is a diagonal matrix. iii)Hence find the matrix M^n.

    asked by Stephan on May 11, 2018
  9. Algebra

    Given the following vector X, find a non-zero square matrix A such that AX=0: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. X= 2 -8 6 A= _ _ _ _ _ _ _ _ _ Please help, I

    asked by sal on October 13, 2018
  10. Maths: Algebra Matrices Class 12th

    matrix{{0, 1, -1}, {2, 1, 3}, {1, 1, 1}} matrix{{1, -1, x}} matrix{{0}, {1}, {1}}=0 Find the value of x Don't give me the direct answer. Please tell me how to go about this. Draw in your notebook and then solve

    asked by Akash on April 11, 2011

More Similar Questions