- #1
Maxwhale
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Homework Statement
Is the following a vector space?
The set of all unit lower triangular 3 x 3 matrices
[1 0 0]
[a 1 0]
[b c 1]
Homework Equations
Properties of vector spaces
The Attempt at a Solution
I checked the properties of vector space (usual addition and scalar multiplication). I proved that the upper triangular 3 x 3 matrices are vector spaces as they suffice all the properties of vector space. But I am not quite confident about lower triangle.