Given the following two matrices

Question

matrix G= -3 0 6 2

-5 4 6 0

1 -2 0 1

matrix H= a 2 2

2 1 2

2 2 a

Determine the rank of G and G^T

Answer 1

The rank of a matrix is defined as the number of linearly independent columns

Rank of matrix G is 2

Rank of G^T is 2