OpenStudy (sid123):

INTERSECTION OF TWO SUBSPACES IS A SUBSPACE

4 years ago
OpenStudy (anonymous):

First, since every subspace contains the zero vector (which, you may recall, is itself a subspace), at the very least, the intersection of two subspaces will contain the zero vector, and, hence will be a subspace. Then, you just have to show that: 1.) For every vector "x" in \[V \cap W,\] the vector "kx" is also in the intersection of V & W (where k is scalar). 2.) For any two vectors x & y in the intersection of V & W, x + y is also in the intersection of V & W. Is this at all helpful??

4 years ago
OpenStudy (sid123):

THANK U SIR

4 years ago
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