Definition of linearly dependent matrix

[chenhang]

In lecture " Linear dependence and independence (3x3)" there is this matrix

At first I thought this matrix is linearly independent because row 2 has no relationship with row 1 or row 3, although 2Row1 = Row3. However, this matrix is linearly dependent.

Therefore, if the matrix is “partially” linearly dependent, we can say that the whole matrix is linearly dependent?

Thanks.

[Isaak_Kamau]

Hello @chenhang
I also think the same because, from some definitions, a matrix is linearly dependent if one of its columns (or rows) can be expressed as a linear combination of the other columns (or rows).