For memory, two vectors in R^2 are linear dependant if and only if they one is a multiple of each other,

so something such as

[2 2] <---- v1

[1 1] <---- v2

(vector 1 is top row, vector 2 is bottom row)

would be linear dependant because v2 = 2(v1)

therefore,

[2 3] is linear independant as v2 isnt a multiple of v1

[1 1]

[-1 2] is linear dependant since v2 is the zero vector 0(v1) = v2

[ 0 0]

[1 0] is the identity matrix 2 therefore it is linear independant

[0 1]

Not sure if I'm 100% correct but if its urgent then I hope it helps