gauss jordan method

Let us learn about the Gauss Jordan method. Gauss-Jordan is the systematic procedure of reducing a matrix to reduced row-echelon form using elementary row operations. The augmented matrix is reduced to a matrix from which the solution to the system is ‘obvious’. The gauss-Jordan method matrix is said to be in reduced row-echelon form. The following steps are used to solving the Gauss -Jordan method.

Step 1:

Locate the leftmost column not consisting completely of zeros.

Step 2:

Replace the top row with a new row if necessary to bring a non-zero entry to the top of this column.

Step 3:

If this non-zero entry is a multiply the first row by 1/a to introduce a leading 1.

Step 4:

Add suitable multiples of the top row to all the other rows in order to have only zero entries in the column below this leading 1.

Step 5:

Now ignore the top row of the matrix and begin again with step 1 applied to the sub matrix that remains. Continue until the whole matrix is in row-echelon form.

Step 6:

Then opening with the last non-zero row and working upwards, add suitable multiples of each row to the rows above in order to introduce zeroes above the leading 1s.

In our next blog we shall learn about "arc length calculator" I hope the above explanation was useful.Keep reading and leave your comments.