# Rank of matrix calculator

# Rank of matrix calculator

A rank of matrix calculator is a tool used to determine the rank of a matrix. Here are the steps to use a rank of matrix calculator:

Enter the elements of the matrix into the rank of matrix calculator. You can enter the elements row-wise or column-wise.

Click “Calculate” to find the rank of the matrix.

Here’s an example to illustrate how to use a rank of matrix calculator:

**Suppose you have the following matrix:**

1 2 3

2 4 6

3 6 9

To find the rank of this matrix using a rank of matrix calculator, you would follow these steps:

**Enter the matrix elements into the rank of matrix calculator:**

1 2 3

2 4 6

3 6 9

Click “Calculate” to find the rank of the matrix.

The rank of the matrix would be calculated as follows:

We can reduce the matrix to row echelon form using elementary row operations. Here, we can subtract 2 times the first row from the second row and 3 times the first row from the third row to get:

1 2 3

0 0 0

0 0 0

We can see that there are only two non-zero rows in this matrix, and the third row is all zeros. Therefore, the rank of the matrix is 2.

Therefore, the rank of the matrix is 2.