1) The document discusses parallel summable range symmetric matrices over an incline. It defines what it means for two matrices to be parallel summable and defines their parallel sum.
2) It proves several properties of parallel summable matrices, including that the sum and parallel sum of parallel summable range symmetric matrices are also range symmetric.
3) It establishes conditions under which the sum or parallel sum of two matrices will be range symmetric, such as if their row and column ranges are properly contained within each other.
1) The document discusses parallel summable range symmetric matrices over an incline. It defines what it means for two matrices to be parallel summable and defines their parallel sum.
2) It proves several properties of parallel summable matrices, including that the sum and parallel sum of parallel summable range symmetric matrices are also range symmetric.
3) It establishes conditions under which the sum or parallel sum of two matrices will be range symmetric, such as if their row and column ranges are properly contained within each other.