consider the foloiwing 2x2 matrix in the vector space of 2x2 complex matrices over the real field:
1 2
i 2i
the rows are linearly independent over the real field,but the columns are linearly dependent.
so the row rank is 2 while the column rank is 1.
how come?
1 2
i 2i
the rows are linearly independent over the real field,but the columns are linearly dependent.
so the row rank is 2 while the column rank is 1.
how come?