Discrete Math "Proper Subsets"
Hey everyone, I am confused on part of this. Any input would be much appreciated!!
X has ten members. How many members does ~P(X) have? (~P is the set of all subsets)
How many proper subsets does X have?
Well the number of members of ~P is 2^10 or 1024...
Okay that makes sense. Thanks guys! The basis is the standard basis of {(1,0),(0,1)} And the range can be any number in R2.
and yes the dim Ker(T) is 1, dim Range(T) is 2, dim Domain(T) is 3.
Hey all!
I am working on this and got confused. Any help at all would be much appreciated!
Determine the kernel and range of the transformation T and find a basis for each: T(x,y,z)=(x,y,z) from R3 to R2.
I have found the kernel to be the set {(r, -r, 0)}.
Range is R2.
I"m not sure how...