0
Let's prove that rho(A)=2-norm(A) for A symmetrical and then prove the relation between 1-norm and 2-norm. Both are easy.
1 answer
using the function norm(A,x)
where A is the matrix/vector that you have to compute the norm for
and x can be 1,2,inf, or 'fro' to compute the 1-norm, 2-norm, infinite-norm and frobenius norm respectively.
1 answer
It depends on what space your in. If its the supremum norm on a function space then just look for the max of the function. If its the euclidean norm then just takes squares, add, take the square root. Whats more interesting is that its often very hard to compute norms. For instance, even computing the norm of a 2x2 matrix is no easy problem if the matrix isn't diagonalizable. Computing the norm of a given operator on a infinite dimensional Hilbert space is very hard indeed...
1 answer
A postcriptive norm is a norm you 'ought not to do'.
Something you shouldn't do.
1 answer
The Norm Show - 1999 Norm vs- Norm 2-9 was released on:
USA: 17 November 1999
1 answer
Matrix Condition NumberThe condition number for matrix inversion with respect to a matrix norm k¢k of a square matrix A is defined by∙(A)=kAkkA¡1k;
if A is non-singular; and ∙(A)=+1 if A is singular.
The condition number is a measure of stability or sensitivity of a matrix (or the linear system it represents) to numerical operations. In other words, we may not be able to trust the results of computations on an ill-conditioned matrix.
Matrices with condition numbers near 1 are said to be well-conditioned. Matrices with condition numbers much greater than one (such as around 105 for a 5£5Hilbert matrix) are said to be ill-conditioned.
If ∙(A) is the condition number of A , then ∙(A) measures a sort of inverse distance from A to the set of singular matrices, normalized by kAk . Precisely, if A isinvertible, and kB¡Ak
1 answer
There are three Matrix movies: The Matrix, The Matrix Reloaded, and The Matrix Revolutions. There are also a series of short animated films called The Animatrix.
All movies on TopRater: toprater.com/en/movies/objects/2867535-the-matrix-1999
3 answers
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
1 answer
An idempotent matrix is a matrix which gives the same matrix if we multiply with the same.
in simple words,square of the matrix is equal to the same matrix.
if M is our matrix,then
MM=M.
then M is a idempotent matrix.
1 answer
The first movie was "The Matrix", the second was "Matrix Reloaded", then "Matrix Revolutions".
1 answer
No.
A matrix polynomial is an algebraic expression in which the variable is a matrix.
A polynomial matrix is a matrix in which each element is a polynomial.
1 answer
#include<stdio.h>
#include<conio.h>
#include<math.h>
void main()
{
int a[10][10],sum=0,i,j,m,n,trace=0;
float norm;
printf("enter order");
scanf("%d %d",&m,&n);
printf("enter elements ");
for(i=0;i<m;i++)
{for(j=0;j<m;j++)
scanf("%d",&a[i][j]);
}
for(i=0;i<m;i++)
{
for(j=0;j<m;j++)
{
sum=sum+(a[i][j]*a[i][j]);
if(i==j)
trace=trace+a[i][j];
}
}
norm=sqrt(sum);
printf("norm=%f\n trace=%d",norm,trace);
}
1 answer
It is the matrix 1/3
It is the matrix 1/3
It is the matrix 1/3
It is the matrix 1/3
2 answers
Absolutely not.
They are rather quite different: hermitian matrices usually change the norm of vector while unitary ones do not (you can convince yourself by taking the spectral decomposition: eigenvalues of unitary operators are phase factors while an hermitian matrix has real numbers as eigenvalues so they modify the norm of vectors). So unitary matrices are good "maps" whiule hermitian ones are not.
If you think about it a little bit you will be able to demonstrate the following:
for every Hilbert space except C^2 a unitary matrix cannot be hermitian and vice versa.
For the particular case H=C^2 this is not true (e.g. Pauli matrices are hermitian and unitary).
1 answer
There were three live action films and one collection of anime shorts.
The Matrix (1999)
The Matrix: Reloaded (2003)
The Matrix: Revolutions (2003)
The Animatrix (2003)
5 answers
The second movie in the Matrix trilogy was The Matrix Reloaded.
5 answers
Reduced matrix is a matrix where the elements of the matrix is reduced by eliminating the elements in the row which its aim is to make an identity matrix.
1 answer
A norm is an accepted or typical behavior in a group of people. So a moral norm is the morality that is expected of people in their social group.
For example, it is a moral norm in society that one shouldn't steal.
It is not a moral norm to match your socks (it's a norm to match them, but it isn't immoral to mismatch them, so it's not a moral norm).
Where does the norm come from? God, society, nature, self, and any combination of them.
1 answer
That is called an inverse matrix
1 answer
Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.
1 answer
Norm, his little sister, Norm's gym teacher, Norm's parents, and Norm's best friend are just some of the characters in The One Handed Catch. There are many other characters but these are the important characters.
2 answers
#include<stdio.h>
#include<conio.h>
#include<math.h>
void main()
{
int a[10][10],sum=0,i,j,m,n,trace=0;
float norm;
printf("enter order");
scanf("%d %d",&m,&n);
printf("enter elements ");
for(i=0;i<m;i++)
{for(j=0;j<m;j++)
scanf("%d",&a[i][j]);
}
for(i=0;i<m;i++)
{
for(j=0;j<m;j++)
{
sum=sum+(a[i][j]*a[i][j]);
if(i==j)
trace=trace+a[i][j];
}
}
norm=sqrt(sum);
printf("norm=%f\n trace=%d",norm,trace);
}
1 answer
There are three Matrix movies: The Matrix, The Matrix Reloaded, and The Matrix Revolutions. There are also a series of short animated films called The Animatrix.
1 answer
matrix by aki
Neo is the lead character in the Matrix Trilogy, consisting of The Matrix, The Matrix Reloaded, and The Matrix Revolutions.
1 answer
If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.
1 answer
