For 3x3 and 4x4 matrices, the map A1 x1^k + A2 x2^k is surjective if and only if the nullity of A2 meets conditions depending on n and k, when A1 is invertible.
Counting matrices that are squares
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Polynomial Maps with Constants on Matrix Algebra
For 3x3 and 4x4 matrices, the map A1 x1^k + A2 x2^k is surjective if and only if the nullity of A2 meets conditions depending on n and k, when A1 is invertible.