eigenspace

As nouns the difference between taxonomy and eigenspace

is that taxonomy is the science or the technique used to make a classification while eigenspace is (linear algebra) a set of the eigenvectors associated with a particular eigenvalue, together with the zero vector.

As nouns the difference between eigenspace and eigensubspace

is that eigenspace is a set of the eigenvectors associated with a particular eigenvalue, together with the zero vector while eigensubspace is a subdivision of an eigenspace.

In linear algebra|lang=en terms the difference between eigenvalue and eigenspace

is that eigenvalue is (linear algebra) a scalar, $\backslash lambda\backslash !$, such that there exists a vector $x$ (the corresponding eigenvector) for which the image of $x$ under a given linear operator $\backslash rm\; a\backslash !$ is equal to the image of $x$ under multiplication by $\backslash lambda$; ie $\{\backslash rm\; a\}\; x\; =\; \backslash lambda\; x\backslash !$ while eigenspace is (linear algebra) a set of the eigenvectors associated with a particular eigenvalue, together with the zero vector.

As nouns the difference between eigenvalue and eigenspace

is that eigenvalue is (linear algebra) a scalar, $\backslash lambda\backslash !$, such that there exists a vector $x$ (the corresponding eigenvector) for which the image of $x$ under a given linear operator $\backslash rm\; a\backslash !$ is equal to the image of $x$ under multiplication by $\backslash lambda$; ie $\{\backslash rm\; a\}\; x\; =\; \backslash lambda\; x\backslash !$ while eigenspace is (linear algebra) a set of the eigenvectors associated with a particular eigenvalue, together with the zero vector.