- #1
Maxwhale
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Homework Statement
S is a subset of vector space V,
If V is an 2x2 matrix and S={A|A is singular},
a)is S closed under addition?
b) is S closed under scalar multiplication?
Homework Equations
S is a subspace of V if it is closed under addition and scalar multiplication.
The Attempt at a Solution
I tried to use the definition of sinularity. i.e. a matrix in not invertible. But could not decide if it was closed under addition and scalar multiplication.