Exercise 1.2: Elementary Transformations of a Matrix

EXERCISE 1.2

1. Find the rank of the following matrices by minor method:

2. Find the rank of the following matrices by row reduction method:

3. Find the inverse of each of the following by Gauss-Jordan method:

Answer for Exercise 1.2

1. (i) 1 (ii) 2 (iii) 2 (iv) 3 (v) 3 

2. (i) 2 (ii) 3 (iii) 3