0
The spectrum of a nilpotent matrix consists solely of the eigenvalue zero. A nilpotent matrix ( N ) satisfies ( N^k = 0 ) for some positive integer ( k ), which implies that all its eigenvalues must be zero. Consequently, the only element in the spectrum (the set of eigenvalues) of a nilpotent matrix is ( {0} ). Thus, its spectral radius is also zero.
What else can I help you with?
Where does the word 'nil' come from?
nil - "nothing," 1833, from L. nil, contraction of nihil, nihilum "nothing," from ne- "not" (see un-) + hilum "small thing, trifle," of unknown origin.Above retrieved from, http://www.etymonline.comViper1
Another name for zero?
Nought Nil
Is there any matrix called as zero matrix?
ya yes its there a matrix called zero matrix
What is the matrix that if you multiplied by the original matrix you would get the identity matrix?
The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.
Can a 3x5 matrix be multiplied by a 3x5 matrix?
No, a 3x5 matrix cannot be multiplied by another 3x5 matrix. For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix. Since a 3x5 matrix has 5 columns and the second 3x5 matrix has 3 rows, multiplication is not defined in this case.
What is idem potent matrix?
bob
Nil?
Nil
Where is nil river?
in africa
What is the lowest nrl score?
nil, nil
What is matrix organizational structure and what are its advantages and disadvantages?
A matrix organization is organized into functional departments, but a project is run by a project team, with members coming from different functional departments. On the spectrum of a project manager's authority, matrix organizations are in the middle of two extremes: functional and projectized organizations.
Use nil in a sentence?
"Jenny's chart says 'nil by mouth' because she is having her operation tomorrow" "The result of the football match was nil-nil" "I was so hungry after my operation because I had been 'nil by mouth'"
When was Generał Nil created?
Generał Nil was created in 2009.
When did Lon Nil die?
Lon Nil died in 1970.
When was Nil Sorsky born?
Nil Sorsky was born in 1443.
When was Nil Hilevich born?
Nil Hilevich was born in 1931.
When was Nil Burak born?
Nil Burak was born in 1948.
When was Nil - cigarette - created?
Nil - cigarette - was created in 1901.
