How do you write a vector as a diagonal matrix?

Description. D = diag( v ) returns a square diagonal matrix with the elements of vector v on the main diagonal. D = diag( v , k ) places the elements of vector v on the k th diagonal. k=0 represents the main diagonal, k>0 is above the main diagonal, and k<0 is below the main diagonal.

How do you convert a column vector to a diagonal matrix?

To convert a vector into a diagonal matrix in R, we can use diag function along with matrix function and use ncol argument where we can put the number of columns equal to the number of values in the vector.

Is a diagonal matrix a vector?

Matrix-to-vector diag operator where the argument is now a matrix and the result is a vector of its diagonal entries.

What is diagonal matrix given example?

Identity matrix, null matrix, and scalar matrix are examples of a diagonal matrix as each of them has its non-principal diagonal elements to be zeros. The sum of two diagonal matrices is a diagonal matrix.

What is diagonal vector?

A square matrix in which every element except the principal diagonal elements is zero is called a Diagonal Matrix. A square matrix D = [dij]n x n will be called a diagonal matrix if dij = 0, whenever i is not equal to j.

Is zero matrix is diagonal matrix?

A square zero matrix is a special diagonal matrix having all its elements equal to zero.

How do you draw a diagonal matrix?

The most common and easiest way to create a diagonal matrix is using the built-in function diag. The expression diag (v) , with v a vector, will create a square diagonal matrix with elements on the main diagonal given by the elements of v , and size equal to the length of v .

How do you find the diagonal of a vector?

Finding the diagonal vector from a square matrix

  1. A = [2 9 4; 4 9 2; 1 5 0];
  2. diagA = diag(A); %Diagonal of the A matrix from left to right.
  3. %THE ANSWER: digA = [2 9 0]’

How do you find the diagonal of a square example?

So, for example, if the square side is equal to 5 in, then the diagonal is 5√2 in ≈ 7.071 in.