Solving linear systems \(X\cdot A= B\)

\(A=~\)

Stack Identity-Mat:

e.g., [[2, 5], [4, 5], [-3, 4]] or 2 5; 4 5; -3 4;
e.g., [[2*x^3-3, x^2],[-x, 3*x+1]] or 2*x^3-3 x^2; -x 3*x+1; (no spaces within the polynomials)

\(B=~\)

Stack Identity-Mat:

The matrices are defined over:

The polynomial ring \(k[x]\) for \(k=\)

The finite field \(\mathbb{F}_{p}\) for the prime number \(p=\)

Solve system by computing reduced column echelon form?