(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

S is a subspace of V if it is closed under addition and scalar multiplication.

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Is singular matrix is a subspace of vector space V?

**Physics Forums | Science Articles, Homework Help, Discussion**