3

1

2

4

3

1

2

Linearly dependent because the vectors are not orthogonal to each other.

Linearly independent because there are 3 vectors in a 3d space.

Linearly dependent because the third vector can be written as the sum of the other two. 

Linearly dependent because the vectors are not orthogonal to each other.

Linearly dependent because the vectors are not unit vectors.

Linearly independent because none of the vectors are parallel or anti-parallel to each other.

Linearly dependent because there more vectors than the dimensionality of the space.

It is a row vector of dimension 2.

It is a column vector of dimension 2.

It is a 2 x 3 matrix.

It is a column vector of dimension 3.

Check if all the entries of are non-zero.

Check if

A = I

AB = I

AB = I if these matrices are 2 x 2.