Diagonal Matrix Calculator

Matrix is a grid function that has an ordered rectangular array of numbers. The numbers present in the array are called entities. The numbers are arranged in rows and columns. The vertical arrangement is called columns and the horizontal arrangement of numbers is called rows. In a diagonal matrix, all the elements except the elements along the diagonal are zero.

What is a Diagonal Matrix Calculator?

A 'Diagonal Matrix Calculator' is a free online tool that helps in determining whether the given [3×3], [2×2] matrix is a diagonal matrix or not. In this calculator, you can enter the elements of the matrix and it will determine whether it is a diagonal matrix or not within a few seconds.

How to Use Diagonal Matrix Calculator?

Follow the steps given below to use the calculator:

• Step 1: Enter the elements of the matrix in the space provided.
• Step 2: Click on "Calculate".
• Step 3: Click on "Reset" to clear the field and enter new values.

How to Find a Diagonal Matrix?

In a given [m×n] matrix if all the elements except the one along the diagonal are zero (i.e. a_ij = 0 when i ≠ j) then the given matrix is known as a diagonal matrix. Therefore, it should follow the condition:

Solved Example:

What should be the value of a, b, and c or the given matrix A to be a diagonal matrix?

Solution:

For a matrix to be a diagonal matrix it should follow the condition

a_ij = 0 when i ≠ j

So, a = b = c = 0

Thus the value of a, b, and c will be 0 for the matrix A to be a diagonal matrix.