# Diagonal Matrix Calculator Online

### Explanation:

A matrix that has upper and lower triangular shapes is said to be diagonal. In other words, the diagonal matrix is called such because all the components above and below the main diagonal are zeros. A matrix A = [aij] is defined as diagonal if it meets certain criteria.

• The Matrix "A" is a square matrix
• aij = 0 when i ≠ j.

• Some Examples of diagonal matrix are , , etc.
Can a diagonal matrix include zeros in some (or all) of its diagonal entries, though? It can have non-principal diagonal members since that is the only need for it to be a diagonal matrix (which have to be zeros). Or, to put it another way, a diagonal matrix's diagonal elements can either be zeros or not zeros.

### Properties of a Diagonal Matrix

According to its definition, these are the characteristics of a diagonal matrix.

• Diagonal matrix is a matrix which must be a square matrix.
• Examples of diagonal matrices are the null matrix, identity matrix,  and scalar matrix since each of these
• matrices has non-principal diagonal members that are all zeros.
• Two diagonal matrices added together form a diagonal matrix.
• The primary diagonal of a diagonal matrix whose elements are the products of corresponding elements of the basic/original matrices is created by multiplying two diagonal matrices (of the same order).

#### How to use check Diagonal Matrix Calculator?

• Firstly, you need to enter the dimension of the matrix. Enter number of rows in "Rows" input field and Enter number of columns in "Columns" input field.
• Then press the button "Set Matrix".
• An empty matrix will appear below and then you can enter your values inside the matrix.
• After entering all the values press "Solve" button, the result will automatically appear below which check whether the matrix is diagonal matrix or not.

Diagonal Matrix Example Image:

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