Three 2X2 matrices:
[2 3]
[1 1]
[-1 2]
[ 0 0]
[1 0]
[0 1]
How do I show if this set of elements in linearly dependent or not? Thanks,
Jim
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