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Solutions of Systems of Linear Equations

Solutions of Systems of Linear Equations

IsConsistent(A, w) : ModMatRngElt, ModTupRng -> BoolElt, ModTupRngElt, ModTupRng
Given a matrix A belonging to M_n(R) and a vector w belonging to the tuple module R^((n)), return true iff the system of linear equations v * A = w is consistent. If the system is consistent, then the function will also return:
IsConsistent(A, W) : ModMatRngElt, [ ModTupRng ] -> BoolElt, [ ModTupRngElt ], ModTupRng
Given a matrix A belonging to M_n(R) and a sequence W of vectors belonging to the tuple module R^((m)), return true iff the system of linear equations V[i] * A = W[i] for each i is consistent. If the systems are all consistent, then the function will also return:
Solution(A, w) : ModMatRngElt, ModTupRng -> ModTupRngElt, ModTupRng
Given a matrix A belonging to M_n(R) and a vector v belonging to the tuple module R^((n)), solve the system of linear equations v * A = w. The function returns two values:
Solution(A, W) : ModMatRngElt, [ ModTupRng ] -> [ ModTupRngElt ], ModTupRng
Given a matrix A belonging to M_n(R) and a sequence W of vectors belonging to the tuple module R^((n)), solve the system of linear equations V[i] * A = W[i] for each i. The function returns two values:
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