What is the difference between scalar matrix and diagonal matrix?

Answer: A square matrix A is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. Thus, in a scalar matrix all the diagonal elements are equal whereas in the diagonal matrix the elements in the diagonal are not equal.

Which matrix is called diagonal matrix?

square matrix
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 scalar matrix symmetric?

Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric.

Which of the following is an example of a diagonal matrix?

Some examples of diagonal matrices are ⎡⎢ ⎢ ⎢⎣200−3⎤⎥ ⎥ ⎥⎦ [ 2 0 0 − 3 ] , ⎡⎢⎣30001000−6⎤⎥⎦ [ 3 0 0 0 1 0 0 0 − 6 ] , ⎡⎢ ⎢ ⎢⎣40000−20000100007⎤⎥ ⎥ ⎥⎦ [ 4 0 0 0 0 − 2 0 0 0 0 1 0 0 0 0 7 ] , etc.

Is scalar matrix always diagonal?

Solution: A square matrix, in which all diagonal elements are equal to same scalar and all other elements are zero, is called a scalar matrix. Here, all diagonal elements are equal to same scalar(2) and all other elements are zero, so it is a scalar matrix.

Are the diagonal elements of a scalar matrix zero?

// are zero or not. A square matrix is said to be scalar matrix if all the main diagonal elements are equal and other elements except main diagonal are zero. Scalar matrix can also be written in form of n * I, where n is any real number and I is the identity matrix.

How to check if matrix is scalar matrix or not?

A square matrix is said to be scalar matrix if all the main diagonal elements are equal and other elements except main diagonal are zero. Scalar matrix can also be written in form of n * I, where n is any real number and I is the identity matrix. // Program to check matrix is scalar matrix or not.

What is scalar matrix and identity matrix?

Scalar matrix: A square matrix is said to be scalar matrix if all the main diagonal elements are equal and other elements except main diagonal are zero. Scalar matrix can also be written in form of n * I, where n is any real number and I is the identity matrix. Examples:

What is the difference between square matrix and diagonal matrix?

A square matrix is said to be diagonal matrix if the elements of matrix except main diagonal are zero. A square null matrix is also a diagonal matrix whose main diagonal elements are zero.