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Qiskit: Intro to Linear Algebra
This is true because the sum of two real numbers is also a real number, meaning both new vector components are real numbers, and so they must reside in
R
2
\R^{2}
R
2
.
Sidenote: A field in
R
2
\R^{2}
R
2
is written as
R
\R
R
, because it's a plane.
Referenced in
Numerical Field
Fields can be thought of as sets for these purposes, but they are technically defined as
Commutative Rings
, and their elements are referred to as scalars.
Qiskit: Intro to Linear Algebra