Let A be a fixed vector in ℝ n × n andletSbethesetof all matrices that commute with A , that is. S = { B | A B = B A } Show that S is a subspace of ℝ n × n .
Let A be a fixed vector in ℝ n × n andletSbethesetof all matrices that commute with A , that is. S = { B | A B = B A } Show that S is a subspace of ℝ n × n .
Solution Summary: The author explains that S is a subspace of Rntimes n.
Let A be a fixed vector in
ℝ
n
×
n
andletSbethesetof all matrices that commute with A, that is.
S
=
{
B
|
A
B
=
B
A
}
Show that S is a subspace of
ℝ
n
×
n
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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