Math 2331 { Linear Algebra
second entry is and therefore the sum of two vectors in H is also in H: (H is closed under addition) c. Multiplying a vector in H by a scalar produces another vector in H (H is closed under scalar multiplication). Since properties a, b, and c hold, V is a subspace of R3. Jiwen He, University of Houston Math 2331, Linear Algebra 11 / 21
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