Gauss-Jordan method
The inverse of a matrix by elementary transformations ( Gauss-Jordan method )
We can find the inverse of a non-singular square matrix using elementary row operations only. This method is known as Gauss-Jordan method.
Working rule for finding the inverse of a matrix:
suppose A is a non-singular square matrix of order n. we write
A = In A. Now, we apply elementary row operations only to the matrix. A and the prefactor In of the R.H.S. We will do this till we get an equation of the form.
In = BA
Then obviously B is the inverse of A.
Example:
Link for video lecture: https://youtu.be/7Z5sa-4MJ7I
The inverse of a matrix by elementary transformations ( Gauss-Jordan method )
We can find the inverse of a non-singular square matrix using elementary row operations only. This method is known as Gauss-Jordan method.
Working rule for finding the inverse of a matrix:
suppose A is a non-singular square matrix of order n. we write
A = In A. Now, we apply elementary row operations only to the matrix. A and the prefactor In of the R.H.S. We will do this till we get an equation of the form.
In = BA
Then obviously B is the inverse of A.
Example:
Link for video lecture: https://youtu.be/7Z5sa-4MJ7I
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